Question

The area of a right angled triangle is 165 m². Determine its base and altitude if the latter exceeds the former by 7 m.

Answer 1

Let the base of the right triangle beand the altitudeThen

According to question,

Areas of the right triangle

And as we know that the area of the right triangle

or

Since negative value is not possible. So x =15 m

Therefore the altitude is

Hence, base of the right triangle be and altitude be