Question

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

Answer 1

16 cm

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

• 16 cm

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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.

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

`\\ {\longrightarrow \pmb{\frak {\qquad (1)/(2) * Base * Height = Area_((Triangle)) \:}}} \\ \\`

Now, substituting the values in the formula :

`{\longrightarrow \pmb{\sf {\qquad (1)/(2) * Base * 12 = 96 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad (1)/( \cancel2) * Base * \cancel{12 } = 96 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad {1} * Base * 6 = 96 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad Base * 6 = 96 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad Base = (96)/(6) \:}}} \\ \\`

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

Therefore,

• The base of the triangle is 16 cm