Question

If area of a triangle is 320 cm² and base and height ratio is 5 : 8, find the height of the triangle.
1. 32 cm
2. 26 cm
3. 20 cm
4. 28 cm

Answer 1

Correct Answer - Option 1 : 32 cm

Given:

Area of triangle = 320 cm²

Base : Height = 5 : 8

Formula used: 

Area of triangle = 1/2 × Base × Height

Calculation:

Let base and height of triangle be 5x and 8x, respectively

According to the question

Area of triangle  = (1/2) × (5x) × (8x) 

⇒ 320 = 20x²

⇒ 16 = x²

⇒ x = 4 cm

So, Height = 8x = 32 cm

∴ The height of triangle is 32 cm.