Question

The base and the height of a triangle are in the ratio of 2:3. If the area of the triangle is 300 m´, find the
measure of its base and height.
​

Answer 1

Step-by-step explanation:

let base=2x

height=3x

according to question

1/2×2x×3x=300

3x=300

x=100

base=200

height=300

Answer 2

Answer:

20m, 30m

Step-by-step explanation:

let the base be 2x, height be 3x

area = 300m^2

hence,

$300 = (2x * 3x)/2\\=> 300 * 2 = 6x^2\\=> 600/6 = x^2\\=> \sqrt{100} = x\\ => x = 10m$

hence base = 2x = 2*10 = 20m

height = 3x = 3*10 = 30m