Question

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

Answer 1

Answer:

12 cm( equal sides) and 12√2 cm

Step-by-step explanation:

In isosceles triangle, two sides are of equal length. As in any triangle hypotenuse is the longest one.

Let the length of equal sides be 'a' each.

     Using Pythagoras theorem:

⇒ a^2 + a^2 = hypotenuse^2

⇒ 2a^2 = square of hypotenuse^2

⇒ 2a^2 = 288 cm^2

⇒ a^2 = 144 cm^2

⇒ a = √144 cm = 12 cm

     And, hypotenuse is √288 = 12√2

Answer 2

Step-by-step explanation:

GIVEN

square of HYPOTENUSE=288

HYPOTENUSE= root 288

hence Hypotenuse=12 root 2

on applying Hypotenuse theorm

we get sides =12cm each

hence the required sides are 12cm 12 cm and 12 root 2 cm

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