Find the percentage increase in the area of a triangle if its each side is doubled.
Answers
Answered by
0
Answer:
Correct option is
C
300%
Semi-perimeter of the triangle, s=
2
a+b+c
Area of triangle =
s(s−a)(s−b)(s−c)
.
When each side is doubled, the new sides are 2a,2b,2c.
Hence, new s
′
=
2
2a+2b+2c
=2(
2
a+b+c
)=2s
New area A
′
=
2s(2s−2a)(2s−2b)(2s−2c)
=
2×2×2×2×s(s−a)(s−b)(s−c)
=4
s(s−a)(s−b)(s−c)
.
∴ % change in Area =
A
A
′
−A
×100
=
s(s−a)(s−b)(s−c)
4
s(s−a)(s−b)(s−c)
−
s(s−a)(s−b)(s−c)
×100
=
1
4−1
×100
=300%
1
Answered by
6
Answer:
I think it will be helpful ☺️
click on heart ☺️
mark. e as brainlists ☺️
Attachments:
Similar questions
Economy,
6 days ago
Science,
6 days ago
Social Sciences,
6 days ago
Math,
12 days ago
Physics,
7 months ago