Question

the area of a triangle is 48 cm square. The height of the triangle is 6cm. Calculate the length of the base

Answer 1

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Answer 2

Answer :-

• The length of the base = 16 cm.

Given :-

• The area of a triangle is 48 cm².
• The height of the triangle is 6 cm.

To find :-

• The base of the triangle.

Step-by-step explanation :-

We know that :-

$\underline{ \boxed{ \sf Area \: of \: a \: triangle = \dfrac{1}{2} \times Base \times Height}}$

Here,

• Area = 48 cm².
• Height = 6 cm.

• Let the base be b.

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${\underline {\underline{ \mathfrak{Substituting \: these \: values \: in \: the \: formula,}}}}$

$\boxed{\tt48 = \frac{1}{2} \times b \times 6}$

Multiplying b by 6,

$\boxed{ \tt48 = \dfrac{1}{2} \times 6b}$

Multiplying 1/2 by 6b,

$\boxed{ \tt48 = \dfrac{6b}{2} }$

Transposing 2 from RHS to LHS, changing it's sign,

$\boxed{\tt48 \times 2 = 6b}$

Multiplying 48 by 2,

$\boxed{ \tt96 = 6b}$

Transposing 6 from RHS to LHS, changing it's sign,

$\boxed{\tt \dfrac{96}{6} = b}$

Dividing 96 by 6,

$\overline{ \boxed{ \tt16 = b.}}$

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• Hence, the base = 16 cm.