Question

A triangle has an area of 48 square centimeters. The height of the triangle is 6 centimeters. What is the base of the triangle?

Answer 1

Question :-

• A Triangle has an Area of 48 cm² . The Height of the Triangle is 6 cm . What is the Base of the Triangle ?

Answer :-

• Base of Triangle is 16 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

$\bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }}$

Where ,

• B denotes to the Base .
• H denotes to the Height .

Therefore , by Substituting the given values in the above Formula :-

$\dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height }$

$\longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 }$

$\longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6}$

$\longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6}$

$\longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base }$

$\longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} }$

$\longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}}$

Hence :-

• Base of Triangle = 16 cm .

$\underline {\rule {180pt} {4pt}}$