Question

the base of a triangle is half it's height and area of the triangle is 36cm^2.the length of the base of the triangle is​

Answer 1

Step-by-step explanation:

Given :

• Base of the ∆ is half of it's height
• Area of the ∆ is 36cm²

To find :

• The length and height.

Solution :

Let the height be x cm

Then, it base will be x/2 cm

We know that,

➡ Area of a ∆ = ½ × base × height

➡ 36 = ½ × x/2 × x

➡ 36 = x²/4

➡ x² = 36 × 4

➡ x = √144

➡ x = 12cm.

Hence,

➡ Height is x = 12cm

➡ Base is 2x = 24cm