Question

Find the perimeter of an isosceles right angled triangle whose area is 72 cm2.​

Answer 1

Answer:The formula for finding the area of a right angle triangle is (a*b)/2=area.

Since this is an isosceles right triangle, side a=side b so we can rewrite the formula to (a*a)/2=72cm Multiply by 2

(a*a)=144 Remove parenthesis.

a^2=144 Take the square root of each side.

a=12 m for 2 sides of the triangle. The formula for the hypotenuse is a^2+b^2=c^2 or 12squared+12squared=c^2 or

144+144=c^2 or

c^2=288 Take the square root of both sides.

c=17cm The perimeter then is 12+12+17=41cm.

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