Question

The length of two sides of a right triangle are equal,the square of the hypotenuse is 1800 cm2 The length of each equal side is?​

Answer 1

Answer will be x=o and y=1800

Answer 2

Answer:

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 e ^ 2 = 800 cm

By Pythagoras theorem, we get

➡ us * e ^ 2 = bas * e ^ 2 + perpendic * iota

800 cm = x ^ 2 + x ^ 2 (from equation (i) and (ii))

➡800cm = 2x²

x² = 800/2

= 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!

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