Question

Find base, if the area of the triangle is 36 cm² and the height is 3 cm​

Answer 1

→Question: Find base, if the area of the triangle is 36 cm² and the height is 3 cm​.

↔Given:

• Area = 36cm²
• Height = 3cm

↔To find:

• Base = ?

↔We know the formula to find area of triangle:

•  ½ × base × height

⇔Where:

• base = x
• height = 3cm
• area = 36cm²

⇒Now,

• 36 =   ½ × base × 3

• base = 2 × area ÷ 2
• 2 × 36 ÷ 2
• 24 cm

∴ The base of the triangle is 24cm

↔Verify:

• ½ × base × height = area of triangle
• ½ × 24 × 3 = 36
• ⁷²⁄₂ = 36
•  36 = 36

∴ The base of triangle with area 36cm² and height 3cm is 24cm.

Answer 2

Answer:

Hence, area of triangle will be 24  cm

Step-by-step explanation:

In context to question asked,

We have to determine the base of triangle.

As per question,

We have,

Area of triangle = 36 Sq. cm

Height of triangle = 3 cm

As we know that,

We have formula for finding the area of triangle.

As we have,

$Area = \frac{1}{2}\times b \times h$

So, for determining the value of base of triangle, we will put the value of area and height in above formula,

Thus we will get,

$Area = \frac{1}{2}\times b \times h\\=>36=\frac{1}{2}\times b \times 3\\=>b = \frac{36\times 2}{3} = 24\:cm$