**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.2 Q5 Download this solution **

**The altitude of right triangle is 7 cm less than its base. If, hypotenuse is 13 cm. Find the other two sides.**

**Solution: **

Let base of triangle be cm

Let altitude of triangle be cm

It is given that hypotenuse of triangle is cm

**According to Pythagoras Theorem, we can say that**

**Dividing equation by 2, we get**

We discard because length of side of triangle cannot be negative.

Therefore, base of triangle = cm

Altitude of triangle = cm