Question

34. Find the height of a triangle, if its area is 24 cm2 and its base is 15 cm.​

Answer 1

☆ Given :

• Area of triangle = 24cm²
• Base of triangle = 15 cm

☆ To find :

• The height of the triangle.

☆ Solution :

Let's assume the height of the triangle as h.

★Area of triangle = 1/2 × base×height

According to Question,

→ 24 = 1/2 × 15 × h

→ 24 × 2 = 15h

→ 48 = 15h

→ h = 48/15

→ h = 3.2

Therefore,

• The height of the triangle is 3.2 cm respectively.

Check :

As we know,

★Area of ∆ = 1/2 × base × height

Putting the value,

— 24 = 1/2×15×3.2

— 24 = 15×32/2×10

— 24 = 480/20

— 24 = 24

Thus, L.H.S. = R.H.S.

Hence, checked !!

Answer 2

Hey there mate here is your answer

Given, Area of triangle = $24cm^{2}$

           Base of triangle = 15cm

To find height of triangle

Area    = $\frac{1}{2}$ x Base x Height

Height =  $\frac{2 Area}{Base}$

            = $\frac{2(24)}{15}$

            =  $\frac{48}{15}$

            = 16/5

∴ Height of triangle = $\frac{16}{5}$

Thanks...