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Guys, does anyone know the answer?
Nội dung chính- Each side of a cube is increased by 50% . Then the surface area of the cube increases byIf each side of a scalene triangle is doubled, what is the increase % in area?If side of a scaleneis doubled then area would
be increased bya)100 %b)50 %c)25 %d)noneCorrect answer is option 'A'. Can you explain this answer?Related TestTop Courses For Class 9How much area of triangle will increase in percentage if each side is doubled?What will be the percentage increase in area of an equilateral triangle if each side of the triangle is tripled?What will be the area of a triangle if its sides are doubled?What will be increase in area of an equilateral triangle if its side is increased by 100%?
get if each side of a scalene triangle is doubled then area would be increased by from screen.
Each side of a cube is increased by 50% . Then the surface area of the cube increases by
Click here👆to get an answer to your question ✍️ 010 If each side of scalene triangle is doubled then area would be increased by ( beginarray l l l l text (a) 300 % & text (b) 50 % & text (c) 25 % & text (d) 100 % endarray )
010 If each side of scalene triangle is doubled then area would be increased by
Question (a) 300% (b) 50% (c) 25% (d) 100% Open in App Solution Verified by Toppr
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If each side of a scalene triangle is doubled, what is the increase % in area?
Answer (1 of 5): The area of the triangle with sides , a, b and c , is (1/2) ab sin C , C being the angle between a and b. If a and b are doubled keeping angle C fixed, side c is also doubled. The area of new triangle is (1/2) 2a * 2b sin C. That is 4 * (1/2) ab sin C , 4 times the area of init...
If each side of a scalene triangle is doubled, what is the increase % in area?
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5 Answers
Muthusamy Piramanayagam ( முத்துசாமி பிரமநாயகம்)
Former Head of Department of Sciences Directorate of Technical Education, Tamil Nadu, India (1968–2000)4y
The area of the triangle with sides , a, b and c , is (1/2) ab sin C , C being the angle between a and b.
If a and b are doubled keeping angle C fixed, side c is also doubled.
The area of new triangle is (1/2) 2a * 2b sin C. That is 4 * (1/2) ab sin C , 4 times the area of initial triangle.
Increase in area is 3 times the initual area .
3 = 300/100 = 300% Related questions
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Scott Kreidler
Mechanical engineer, field service engineer, educator.4y
As I type this, the other two answers both approach the problem using Heron’s formula, to adjust a calculation of the area based on the length of the three sides. This approach, while accurate, is significantly more labor-intensive than is strictly necessary to answer the question.
If you have a plane figure – doesn’t even matter if it’s a triangle, or even a polygon – and you double every linear measurement – in this case, all three sides — then you’ve created a similar figure with linear scale factor of two.
The area of a similar figure scales as the square of the linear scale factor – so for
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HsBadarinath
Former CE, Graduate, PG, Research Scholar and Faculty Indian Institute of Technology, Roorkee (1964–2000)4y
A triangle with sides 3, 4 and 5 is a scalene triangle, though it a right angled triangle. Its area is 3*4/2 = 6 sq units.
Next double its sides which now become 6, 8 and 10. Its area is 6*8/2 = 24 sq units.
So on doubling the sides of a scalene triangle the area becomes 4-fold or the increase in area is 300%.
Manjunath Subramanya Iyer
I am a retired bank officer teaching maths4y
Originally Answered: If each side of a scalene triangle is doubled, find the increase % in area?
If a,b,c are the lengths of the original triangle and s is the semi-perimeter, then the area is given by Heron's formula Sq rt (s)(s-a)(s-b)(s-c)
If each side is doubled then we have the side lengths 2a,2b,2c. The semi perimeter will be 2s.
Now the area of the new triangle is Sq rt 2s(2s-2a)(2s-2b)(2s-2c) = Sq rt 2(s)(2)(s-a)2(s-b)2(s-c) = 4 Sq rt (s)(s-a)(s-b)(s-c)
Hence if each side of a scalene triangle is doubled, the area increases by 300%
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Ved Prakash Sharma
Former Lecturer Sbm Inter College, Rishikesh (1971–2007)4y
Let a , b and c are the three sides of a scalene
triangle ABC .
Area of triangle ABC =(1/2)a.b.sinC=(1/2).b.c.sinA=(1/2).c.a.sinB.
If each side is doubled
New area of triangle=(1/2).2a.2b.sinC=(1/2).2b.2c.sinA=(1/2).2c.2a.sinB
Or =2ab.sinC=2b.c.sinA=2ca.sinB
Increase in area=2ab.sinC-1/2.ab.sinC
=(3/2)a.b.sinC
Increase % in area=(3/2)a.b.sinC ×100/(1/2.a.b.sinC
=3×100 = 300 % , Answer
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Related answers Related Answer Awnon Bhowmik
Studied University of Dhaka4y
If each side of a triangle is doubled, then by what percent will the area of a triangle increase?
Method 1:
Area of original triangle
A 1 = 1 2 absinθ A1=12absinθ
Area of enlarged triangle
A 2 = 1 2 ⋅2a⋅2bsinθ =4( 1 2 absinθ) =4 A 1
A2=12⋅2a⋅2bsinθ=4(12absinθ)=4A1
% Change in area A 2 − A 1 A 1 ⋅100%= 4 A 1 − A 1 A 1 ×100%=300%
A2−A1A1⋅100%=4A1−A1A1×100%=300%
Method 2:
Using Heron’s formula
[math]beginaligns_1&=dfrac12(a+b+c)\A_1&=sqrts_1(s_1-a)(s_1-b)(s_1-c)\hline s_2&=dfrac12(2a+2b+2c)\&=2cdotleft[dfrac12(a+b+c)right]\&=2s_1\A_2&=sqrts_2(s_2-2a)(s_2-2b)(s_2-2c)\&=sqrt2s_1(2s_1-2a)(2s_1-2b)(2s_1-2c)\&=sqrt{2^4cdot s_1(s_1[/math]
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If side of a scaleneis doubled then area would be increased bya)100 %b)50 %c)25 %d)noneCorrect answer is option 'A'. Can you explain this answer?
It's 100 % because all sides in scalene triangle are unequal. so , if all sides doubled it will become 300 % increased,if one side is doubled it will be 100 % increased.
Class 9 Question
If side of a scalene △ is doubled then area would be increased by
a) 100 % b) 50 % c) 25 % d) none
Correct answer is option 'A'. Can you explain this answer?
Related Test
Test: Heron's Formula- 2
Answers
Kalpana Kadam Aug 05, 2022 It is 100%. Upvote | 8 Reply Rajat Singh Aug 04, 2022
It's 100 % because all sides in scalene triangle are unequal. so , if all sides doubled it will become 300 % increased,
if one side is doubled it will be 100 % increased.
Upvote | 3 Reply
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English Class 9 Hindi Class 9 Mona Kumari Aug 05, 2022 It's 100 % Upvote | 2 Reply Answer this doubt
स्रोत : edurev.in
How much area of triangle will increase in percentage if each side is doubled?
So the percentage increase in the area of a triangle if each side is doubled is 300%.What will be the percentage increase in area of an equilateral triangle if each side of the triangle is tripled?
Here we have been asked to find the percentage increase in the area of an equilateral triangle if we increase the length of each of its sides by 3 times. First we need to find the length of the sides of new triangle. Hence, the percentage increase in the area of the equilateral triangle is 800%.What will be the area of a triangle if its sides are doubled?
Hence, if each side of a triangle is doubled, then its area is 4 times the area of the original triangle.What will be increase in area of an equilateral triangle if its side is increased by 100%?
%change in area=300% Was this answer helpful? Tải thêm tài liệu liên quan đến nội dung bài viết How much area of triangle will increase in percentage if each side of the equilateral triangle is doubled?
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