Question

The square of the hypotenuse of an isosceles right-angled triangle is 72 sq. cm. What is the length of each side??​

Answer 1

The length of the each side as per the given is 50.90 cm.

Step-by-step explanation:

Given:

The square if the hypotenuse of an isosceles right angled triangle is 72 sq. cm. What is the length of each side

Solution:

AC^2 = AB^2 + BC^2AC2=AB2+BC2

From the given,

AC = 72, AB = BC

72^2 = AB^2 + AB^2722=AB2+AB2

\begin{gathered}72^2 = 2AB^2\\AB^2 = \frac{72^2}{2}\\AB

= \sqrt{2592}\end{gathered}722=2AB2AB2=2722AB=2592

= 50.9 cm

To know more:

The length of each side of an equilateral triangle of area 18 root 3cm sq