Question

Find the area of an isosceles right triangle

having the hipotenuce of length 30 cm

Answer 1

Given that

An isoceles right angled triangle, with hypotenuse = 30 cm


Let the other two equal sides be a (since it's isoceles, other two sides will be equal)

By Pythagoras Theorem, we know that,

base² + height² = Hypotenuse², hence

a² + a² = 30²

=> 2a² = 900

=> a² = 900/2

=> a² = 450 cm²


Now, area of right angled isoceles triangle = 1/2 × base × height

= 1/2 × a × a

= a²/2

So, we have a² = 450,

area = 450/2 = 225 cm²

Answer :- 225 cm²

Answer 2

hypotenuse = 30 cm
since , it is isosceles right triangle
2x^2 = 30 x 30
x ^ 2 = 30 x 30 / 2
X ^2 = 450
X = √450
Area of isosceles right triangle = 1/2 *base * height
= 1/2 x √450 x√450 = 1 / 2 x 450 = 225sq cm
I think so that's your answer.
Hope this helps you.☺