Question

The perimeter of an isosceles right triangle, the length of whose hypotenuse is 10 cm is ​

Answer 1

Answer:

perimeter = 24.14 cm

Step-by-step explanation:

Given,

(draw a isosceles right angle triangle)

here,

the two sides (base and height) other than hypotenuse are equal as 2 sides of an isosceles triangle are equal.

let the other side be x

so according to pythagoras theorem,

base²+height²=hypotenuse²

or, x²+x²=10²

or, 2x²=100

or, x²=100/2=50

or, root x² = root 50

or, x = 7.07 cm (approx)

perimeter = (7.07 + 7.07 + 10) cm = 24.14 cm (ans)