Math, asked by pradeepmackwani007, 2 months ago

If the area of a triangle is 87cm2 and its height is 15cm, what will be the measure of its base?
solution​

Answers

Answered by lasyavenna
1

Answer:

11.6 cm

Step-by-step explanation:

Height = 15 cm

Area = 87 cm^2

Area of triangle = 1/2 bh

                  87    = 1/2 x b x 15

                  87    = 15/2 x b

         87 x 2/15  = b

                   11.6 = b

Therefore, Base= 11.6 cm.

Hope it helps!!

Answered by IntrovertLeo
8

Given:

A triangle with-

  • Area = 87 cm²
  • Height = 15 cm

What To Find:

We have to find the base of the triangle.

Formula:

\bf Area = \dfrac{1}{2} \times Height \times Base

Solution:

Using the formula,

\sf \implies Area = \dfrac{1}{2} \times Height \times Base

Substitute the values,

\sf \implies 87 = \dfrac{1}{2} \times 15  \times Base

Cancel 15 and 2,

\sf \implies 87 = 7.5  \times Base

Take 7.5 to LHS,

\sf \implies \dfrac{87}{7.5} =  Base

Divide it,

\sf \implies 11.6 \: cm =  Base

Final Answer:

Thus, the base is 11.6 cm.

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