Question

Find the height of a triangle having an area of 72cm sq. and base 16cm​

Answer 1

Step-by-step explanation:

72 + 16 + height = 180

88 + height = 180

height = 180 - 88

height = 92

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Answer 2

☆ Solution ☆

Given :-

• Area of triangle = 72 cm²

• Base of triangle = 16 cm

To Find :-

• The height of the triangle.

Step-by-Step-Explaination :-

Let,

• The height of the triangle be h

As we know that :-

Area of triangle = 1/2 × base × height

Where,

• Area of triangle = 72 cm²

• Base of triangle = 16 cm

• Height of triangle = h

Putting the respective value,

72 = 1/2 × 16 × h

72 × 2/16 = h

9 = h

Hence,

The height of the triangle is 9 cm.

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Verification :-

As we know that :-

Area of triangle = 1/2 × base × height

Where,

• Base of triangle = 16 cm

• Height of triangle = 9 cm.

Putting the respective value,

Area of triangle = 1/2 × 16 × 9

Area of triangle = 1/2 × 144

Area of triangle = 72 cm²

Hence Verified !

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