If every side of a trianlge is doubled, then
increase in the area of the triangle is :
Answers
Answered by
0
HEY MATE HERE IS YOUR ANSWR
Heron's formula states for a triangle with sides of lengths a,b,c
A=
[s∗(s−a)∗(s−b)∗(s−c)]
where s = (a+b+c)/2
If you double the sides A=
[2s∗(2s−2a)∗(2s−2b)∗(2s−2c)]
= 4*A=
[s∗(s−a)∗(s−b)∗(s−c)]
= 4*A
The increase in area is 4*A-A = 3*A so the
Answer (C) 300%
Answered by
0
Answer:
A = ½bh
On doubling the sides.
A = ½(2b × 2h) = 2bh
The area increases 4 times the original.
Increase in area = 2 - ½ = 1½ = 3/2
Increase percentage = 3/2÷½×100=300%
Verification
Original triangle, A = ½bh = ½(5 × 6) = 15 cm²
Increased triangle, A = 2bh = 2×5×6 = 60 cm²
By times
Area of Increased triangle = 15 × 4 = 60 cm²
Area of increases triangle by percentage increase = 15×400/100 = 60 cm²
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