Question

find the height of triangle whose base is 15 cm and area 120 CM square

Answer 1

Given:

The base of a triangle is 15 cm and the area is 120cm2.

To find:

The height of a triangle.

Solution:

The height of the given triangle is 16 cm.

To answer this question, we will follow the following steps:

As given, we have,

The base of a triangle = 15cm

The area of a triangle = 120cm2

Also,

The formula for finding the area of a triangle having base 'b' cm and height 'h' cm is given by:

$\frac{1}{2} \times b \times h$

So,

$\frac{1}{2} \times 15 \times h = 120$

$h = \frac{120 \times 2}{15}$

$= 16 \: cm$

Hence, the height of a triangle is 16 cm.

Answer 2

Given,

The base of a triangle = 15 cm

Area of the triangle = 120 cm^2

To find,

The height of the triangle.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the length of the height of the triangle is equal to h cm.

Mathematically,

Area of a triangle = 1/2×(base)×(height)

Now, according to the question;

Area of the given triangle = 1/2×(base)×(height)

=> 120 cm^2 = 1/2×(15 cm)×(h cm)

=> h = (120×2)/15 cm = 16 cm

=> the height of the triangle = 16 cm

Hence, the height of the triangle is equal to 16 cm.