Question

7)If the area of the triangle is 36 cm² and the height is 3 cm, the base of the triangle will be:​

Answer 1

Answer:

Question :-

If the area of the triangle is 36 cm² and the height is 3 cm, the base of the triangle will be:

Given Information :-

Area of the triangle = 36 cm²

Height of the triangle = 3 cm

Base of the triangle = ?

Formula :-

$\bf \small \: Area \: of \: triangle \: = \: \frac{1}{2} \times base \: \times height$

Required Solution :-

$\bf \small \: Area \: of \: triangle = \frac{1}{2} \times b \times h$

$\bf \small \: 36 = \ \frac{1}{2} \: \times b \: \times 3$

$\bf \small \: \frac{36 \times 2}{3} = b$

$\bf \small \: \frac{3 \cancel6 \times 2}{ \cancel3} = b$

$\bf \small \: 12 \times 2 = b$

$\bf \small\therefore \: b = 12$

$\bf \small\therefore \: base \: is \: 12 \: cm$

Answer 2

In context to questions asked,

We have to determine the value base of the triangle.

As per questions,

We have,

Area of triangle = 36 cm²

Height of triangle = 3 cm

As we know that,

$area \: = \frac{1}{2} \times base \: \times height$

So, we will put the value given in above expression,

Thus we will get the value of base of triangle as,

$36 = \frac{1}{2} \times 3 \times base \\ base = \frac{36 \times 2}{3} = 24 \: cm$

Hence, value of the base of the triangle will be 24 cm.