Question

Find the base of the triangle if the area is given 90cm² and the Height is given 12 cm.​

Answer 1

Given:

• Area of triangle $\sf{=90}$
• Height given $\sf{=12cm}$

To find:

• The Base of the triangle.

Solution:

To find the base of the triangle we will apply the formula:

$\purple{\sf{Area\:of\:the\:triangle = \dfrac{1}{2} \times B \times H}}$

Putting the values,

$\sf\mapsto{90=}\dfrac{1}{2}\times{B}\times{12}$

$\sf\mapsto{90=}\dfrac{1}{2}\times{12}\times{B}$

$\sf\mapsto{90=6}\times{B}$

$\mapsto\sf\cancel\dfrac{90}{6}{=B}$

$\sf\mapsto{15=Base}$

Therefore,the Base of the triangle is $\sf{15cm}$

Let's verify our answer:

Putting the values,

$\sf\leadsto{90=}\dfrac{1}{2}\times{15}\times{12}$

$\sf\leadsto{90=}\dfrac{1}{2}\times{12}\times{15}$

$\sf\leadsto{90=6}\times{15}$

$\sf\leadsto{90cm}^{2}{=90cm}^{2}$

Therefore, Verified .

Answer 2

Answer:

15

Step-by-step explanation:

Base of the triangle= ?

Area = 90 cm²

Altitude (Height) = 12 cm.

Area of triangle. = 1/2 × base × height

90 = 1/2 * base * 12

90 = base * 6

90/6 = base

15 = base

Thereofore the base is 15 cm.

Hope this helps!!