Question

The lengths of two sides of a right triangle are equal. The square of the hypotenuse is 450cm².Then length of each equal side is *

15cm

40cm

25cm

35cm​

Answer 1

Answer:

The length of each side is 5 cm.

Step-by-step explanation:

Let the two sides of given Triangle be x,x

Square of hypotenuse is 50 cm²

From Pythagorous theorm :

c² = a² + b²

50 = x² + x²

2x² = 50

x² = 25

x =  square root of 25

x = 5

Hence the length of each side is 5 cm.

                         I hope this answer will help you.....

Answer 2

Answer :-

The length of each equal sides are :- 25cm.

[ Option c. 25cm ] is the correct option.

Step-by-step explanation :-

To Find,

• The length of each equal sides

Solution,

Given that,

• The length of two sides of a right triangle are equal.
• The square of the hypotenuse is 450cm²

As we know that,

$\dag \: \: \underline{ \boxed{\red{ \sf{{Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2}}}}}$

Let us assume the two equal length of each sides as x² and x² respectively,

➞ x² + x² = 450

➞ 2x² = 450

➞ x² = 450 / 2

➞ x² = 225

➞ x = √ 225

➞ x = 25

Therefore, the length of equal sides are 25cm and 25cm.