Question

The base and height of a triangle are in the ratio 4:5. If the area of the triangle is 90 sq cm, find the measures of its base and height.

Answer 1

Let the base be 4x and height be 5x.

Area of a triangle = 1/2 * b  * h 

Given 1/2 * b * h = 90

           1/2  * 4x * 5x = 90

           10x^2 = 90

               x = 3.

Base = 4 * 3 = 12

height = 5 * 3 = 15.

Answer 2

Heya,

Let the base and height be 4x and 5x respectively.

Area = 1/2 × 4x × 5x = 10x²

=>10x²= 90 cm²
=>x²= 9 cm ²
=>x = 3cm

=>Base=12 cm
=>Height = 15 cm

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