Question

find the hieght of a triangle , if its area is 24 cm² and its base is 15 cm
​

Answer 1

Answer :

• The height of a triangle is 3.2cm

Given :

• Area of a triangle is 24cm²
• Base if triangle is 15cm

To find :

• Height of a triangle

Solution :

Given,

• Area of a triangle is 24cm²
• Base of a triangle is 15cm

As we know that

• Area of triangle = ½ × b × h

Where,

• b is base
• h is height

⇥ Area of triangle = ½ × b × h

⇥ 24 = ½ × 15 × h

⇥ 24 × 2 = 15 × h

⇥ 48 = 15 × h

⇥ h = 48/15

⇥ h = 3.2cm

Hence,

The height of a triangle is 3.2cm

Answer 2

Given: The area of the triangle is$24cm^{2}$ and base of the$15 cm$.

We have to find the height of the triangle.

As we know that the formula is used to calculate the area of the triangle is:

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

Where,

b = base,

h = height

We are solving in the following way:

We have,

The area of the triangle is$24cm^{2}$ and base of the$15 cm$.

We know that,

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

Putting the given values in the formula we get,

$=>24=\frac{15\times h}{2} \\\\=>24\times2=15\times h\\=>48=15\times h\\\\=>h=\frac{48}{15} \\\\=>h=\frac{16}{5}$

Solving the above equation further we get,

$=>h=3.2$

Hence, the height of the triangle is$3.2cm$.