Question

The base and height of triangle are in the ratio 2 : 3 . If the area of the triangle is 108cm , find its base and height



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Answer 1

Answer:

Base = 12 cm and Height = 18 cm

Step-by-step explanation:

We Have :-

Base : Height = 2 : 3

Area of triangle = 108 cm²

To Find :-

Base and Height

Formula Used :-

Area of Triangle = 1/2 * Base * Height

Solution :-

Let the

Base be 2x

Height be 3x

Area = 1/2 * Base * Height

108 = 1/2 * 2x * 3x

6x² = 216

x² = 36

x = 6 cm

Base = 2x = 2 * 6 = 12 cm

Height = 3x = 3 * 6 = 18 cm

So Base = 12 cm and Height = 18 cm

Answer 2

Step-by-step explanation:

Let the base and height of the triangle be 2x and 3x respectively.

Then,It's area = (2x*3x)/2=3(x^2)=108 sq. cm

x^2 = 108/3 sq.cm = 36 sq.cm

x = √36 = 6 cm

Hence It's base = 24 cm and height = 18 cm.