The perimetre of an isoscles triangle is 30metre. The ratio of equal side to its base is 3:2. Find the arm (side) ofthe triangle.
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The perimetre of an isoscles triangle is 30metre. The ratio of equal side to its base is 3:2. Find the arm (side) ofthe triangle.
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Answer:
Step-by-step explanation:
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the perimeter of isosceles triangle = 32cm
p of isosceles triangle = 2 * equal side + base
let length of equal side be 3x and base be 2x
then
2 * 3x + 2x = 32 cm
6x + 2x = 32cm
8x = 32 cm
x= 4 cm
length of equal side = 3*4= 12cm
length of base = 2*4=8cm
area of isosceles triangle=b*1/4*√4a2-b2
= 8*1/4√4*144-64
=2√512
=2*22.62
= 45.25cm2
Step-by-step explanation:
Lets the side be x
perimeter = side + side + side
30 m = 3x + 3x + 2x
8x = 30
x = 15/4 m
x = 3.75m
so equal sides = 3 × 3.75 = 11.25 m
base = 2 × 3.75 = 7.5 m
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