Question

the hypotenuse of a right angled traingle is 29 cm long its area is 210 sq cmcalculate the lenth of perpendicular sides​

Answer 1

Explanation:

The hypotenuse is a line, so it’s dimensions cannot be squared centimeters. This appears to be an error in the exercise statement.

You are given that the area is:

A=12wh

29=12wh

58=wh

Whatever are the values of the height and width, the Pythagorean Theorem says:

h2=w2+h2

And we are given:

292=w2+h2

Plugging In from 58=wh , we get:

292=w2+(58w)2

Multiply through by w^2, and then solve the resulting quadratic equation. You should get:

w2=841±3⋅52⋅11⋅292−−−−−−−−−−−√2

Continue the solution to finds all values of w. Back-solve for the corresponding values of the height.