Question

The area of a triangle is 28 sq.cm. If its base is 4 cm. Find its height.​

Answer 1

Step-by-step explanation:

area of triangle- base x height

28 =4 x h

28/4= h

h =7

Answer 2

Answer :-

• The height of the triangle is 14 cm.

Given :-

• The area of a triangle is 28 sq.cm.
• It's base is 4 cm.

To find :-

• It's height.

Step-by-step explanation :-

• In this question, the area and the base of a triangle has been given to us. We have to find it's height. For this, we will use the formula required for finding the area of a rectangle, make an equation using it and solve it to get our answer.

Calculations :-

We know that :-

$\boxed{\sf Area \: of \: a \: triangle = \dfrac{1}{2} \times base \times height}$

Here,

• Area = 40 sq.cm.
• Base = 4 cm.

• Let the height be h.

Substituting the given values in the formula,

$\tt \implies 28 = \dfrac{1}{2} \times 4 \times h$

Multiplying 4 by h,

$\tt \implies 28 = \dfrac{1}{2} \times 4h$

Multiplying $\tt \dfrac{1}{2}$ by 4h,

$\tt \implies 28 = \dfrac{4h}{2}$

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

$\tt \implies 28 \times 2 = 4h$

Multiplying the numbers,

$\implies \tt56 = 4h$

Transposing 4 from RHS to LHS, changing it's sign,

$\implies \tt\dfrac{56}{4} = h$

Dividing 56 by 4,

$\underline{\boxed{\tt\implies 14 = h.}}$

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• So, the height of the triangle = 14 cm.