Question

1. The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is of
length 8 cm, find the length of the third side.
2. The length of the hypotenuse of a right triangle is 13 cm. If one of the side of the
triangle be 5 cm long, find the length of the other side.
3. The length of two sides of a right triangle are equal. The square of the hypotenuse is
800 cm2. Find the length of the each side.​

Answer 1

Answer:

1)Let 8 cm be it's perpendicular

h^2=p^2 + b ^2

(17)^2= (8)^2 + b^2

289=64 + b^2

289-64=b^2

225 = b^2

root 225 = b

15 cm = b

So the length of another side is 15 cm

2)The other side of triangle will be 12 cm

3)Hello users.....

we have given that

The length of two sides of a right triangle are equal.

and

square of the hypotenuse is 800cm square

we have to find

length of each side

solution:-

let two equal sides are = x

now

we know that

in right angle triangle

H² = P² + B²

where

H → hypotenuse

P→ perpendicular

and

B→ Base

now

here

H² = x² + x² ( P,B are equal to x)

=> 800 = 2x²

=> x² = 400

=> x= 20

hence

the two equal sides of the triangle

= 20 answer