Question

In a triangle the height is double the base and the area is 400 cm
2squar. Find the length of the base and height

Answer 1

Let the Base be a
Height = 2a

According to question
Area = 400 cm
b*h/2 = 400
=> a*2a= 800
=> 2a^2 = 800
=> a^2 = 400

a= 20

Base = 20 cm
Height= 40 cm

Answer 2

Heya,

Given,

Area = 400cm^2
Height is double that of base

Therefore,
Base = x
Height = 2x

Area of a triangle = 1/2 × b × h
400 = 1/2 × x × 2x
400 × 2 = 2x^2
800 = 2x^2
800/2 = x^2
400 = x^2
√400 = x
20 = x

Hence,
Base = 20 cm
Height = 20 × 2 = 40cm

Hope my answer helps you :)

Regards,
Shobana