Question

the hypotenuse of a right triangle is 6 1 /2cm and its area is 7 1/2sq.cm. Calculate the length of its perpendicular sides.​

Answer 1

The Length of the triangle = 2.307 cm

Explanation:

Step(i):-

Given hypotenuse of a right triangle is = 6 1 /2 cm

Let assume the height of the triangle h =
`(13)/(2) c m`

Given Area of the triangle = 7 1/2 sq.cm.

A =
`(15)/(2) sq .c m`

Step(ii):-

We know that Formula

Area of the triangle

`A = (1)/(2) base X height`

`(15)/(2) = (1)/(2)X b X (13)/(2)`

On calculation , we get

Base of the triangle (b) =
`(30)/(13) = 2.307 c.m`

Conclusion:-

The length of the triangle = 2.307 c.m