Question

7) Find the base of a triangle whose height is 12cm, and area is 96cm? Your answer​

Answer 1

Answer:

16 cm

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Substitute given information into the formula:

96= ½ ×base ×12

Simplify:

96= 6 ×base

Divide both sides by 6:

base= 96 ÷6

base= 16 cm

Answer 2

Answer:

• 16 cm

Step-by-step explanation:

It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.

To find the base of the triangle, we have to know this formula :

$\\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}}$

Now, substituting the values in the formula :

${\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}}$

${\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}}$

${\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}}$

${\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}}$

${\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}}$

${\longrightarrow \pmb{\frak {\qquad Base = 16\:}}}$

Therefore,

• The base of the triangle is 16 cm