Question

if the square of hypotenuse of right isosceles triangle is 1250 cm square. find the length of each side

Answer 1

We have,

Hypotenuse of right angled isosceles triangle = h =
$1250 {cm}^{2}$

we know, in case of isosceles triangles p = b.


thus,

${p}^{2} + {b}^{2} = {h}^{2} \\ = > 2 {p}^{2} = 1250 \\ = > {p}^{2} = 625 \\ = > p = \sqrt{625 } \\ = > p = 25cm \\ = > b = 25cm$


Thanks

KSHITIJ

Answer 2

Answer:

25 cm

Step-by-step explanation:

isosceles triangle

⇒ the length of the 2 legs are equal

Define x:

let the length of the leg be x

Solve x:

x² + x² = 1250

2x² = 1250

x² = 625

x = √625

x = 25 cm

Answer: The length of each leg is 25 cm