Question

The area of a triangle is 54cm if the height of the triangle is 6cm find its base

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Base is 18 cm.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Area of the Triangle = 54 sq.cm

Height of the Triangle = 6 cm

To find :

Its base

Solution :

• Consider the base as x

★ $\boxed{\sf{Area = \dfrac{1}{2} \times Height \times Base}}$

$\sf{\implies} \: \dfrac{1}{2} \times 6 \times x= 54$

$\sf{\implies} \: 3x = 54$

$\sf{\implies} \: x = \dfrac{54}{3}$

$\sf{\implies} \: x = 18$

$\therefore$ The Base is 18 cm.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \: \dfrac{1}{2} \times 6 \times 18 = 54$

$\sf{\implies} \: 3 \times 18 = 54$

$\sf{\implies} \: 54 = 54$

$\therefore$ The Base is 18 cm.

Answer 2

Answer:

Step-by-step explanation:

We know that area of triangle is

1/ 2×base×height

Therefore, 54=1/2×base× height

54=1/2×6×base

Base= 54/3=18