Question

find the height of a triangle whose base is 40cm and area is 0.04sq m

Answer 1

Answer:

it's 40.00

Step-by-step explanation:

thanks for giving me chance

Answer 2

Given:

✰ Base of a triangle = 40 cm = 0.4 m

✰ Area of a triangle = 0.04 m²

To find:

✠ The height of a triangle.

Solution:

First we will convert 40 cm into metres because area of a triangle is in metres.

➝ 1 cm = 1/100 m

➝ 40 cm = 40/100 m

➝ 4/10

➝ 0.4 m

We will find the height of a triangle by using formula to calculate area of a triangle because we are already provided with the area and base, so forming the suitable equation and doing required calculations, we can easily find out the height of a triangle.

✭ Area of a triangle = 1/2 × b × h ✭

Where,

• b is the base of a triangle.
• h is the height of a triangle.

Putting the values in the formula, we have:

➤ 0.04 = 1/2 × 0.4 × h

➤ 0.04 = 0.4/2 × h

➤ h = (0.04 × 2)/0.4

➤ h = 0.08/0.4

Removing points,

➤ h = (8 × 10)/(4 × 100)

➤ h = 80/400

➤ h = 8/40

➤ h = 0.2 m

∴ The height of a triangle = 0.2 m

Verification:

L.H.S:

➛ 1/2 × 0.4 × 0.2

➛ 1/2 × 0.08

➛ 0.08/2

➛ 0.04

= R.H.S

Hence Proved!!

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