#### Chapter 12 Heron's Formula R.D. Sharma Solutions for Class 9th Exercise 12.1

**Exercise 12.1**

Q1. Find the area of triangles whose sides are respectively 150cm, 120cm and 200cm.

**Solution**

Q2. Find the area of triangle whose sides are 9cm, 12cm and 15cm.

**Solution**

Q3. Find the area of triangle two sides of which are 18cm and 10cm and perimeter is 42cm.

**Solution**

Q4. In a ∆ABC, AB=15cm, BC=13cm, and AC=14cm. Find the area of ∆ABC and hence its altitude on AC.

**Solution**

Q5. The perimeter of triangular field is 540m and its sides are in ratio 25:17:12. Find the area of the triangle.

**Solution**

**Solution**

**Solution**

Q8. A triangle has side 35cm, 54cm and 61cm. Find its area. Also, find its area. Find the smallest of the altitude.

**Solution**

Q9. The length of the sides of triangle are in ratio 3:4:5 and perimeter is 144cm. Find the area of the triangle and the height corresponding to the longest side.

**Solution**

Q10. The perimeter of the isosceles triangle is 42cm, and its base (3/2) times each of the equal sides. Find length of the each side of the triangle.

**Solution**

**Solution**