Question

the length of two sides of right triangle are equal to square of the hypotenuse is 800cm square. Find the length of each side ​

Answer 1

Answer:

Let other 2 sides be X.

A.C.Q:

x²+x²= 800

2x²= 800

x²=400

x=20

Answer 2

The length of two sides of the right angle triangle are equal.

Let the equal sides of the right angle triangle be x each (base and perpendicular) -------(i)

Given square of the hypotenuse is 800cm.

➡ hypotenuse² = 800cm -------(ii)

By Pythagoras theorem, we get

➡ hypotenuse² = base² + perpendicular²

➡ 800cm = x² + x² (from equation (i) and (ii))

➡ 800cm = 2x²

➡ x² = 800/2

➡ x² = 400

➡ x = √400

➡ x = 20cm

Hence, the length of other sides is 20cm each.

VERIFICATION :-

LHS :-

= 800cm

RHS :-

= (20)² + (20)²

= 400cm + 400cm

= 800cm. Hence verified!