Question

The area of the right triangle is
184 cm sq one one of it's leg is 16 cm long.find the length of the other leg.

Answer 1

Answer:

23 cm

Given:

Area of right triangle = 184 cm²

one side = 16 cm

To find:

Length of side of triangle.

Step-by-step explanation:

We know that,

Area of right angle triangle is given by

Area = 1/2 × base × height

area = 1/2 × b × h

it is given that,

Area of right triangle = 184 cm²

one side = 16 cm.

so,

⇒ 184 = 1/2 × b × 16

⇒ 184 = 8b

⇒ 184/8 = b

⇒ 23 = b

b = 23 cm

Hence, the length side is 23 cm.

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Answer 2

Answer:

The other leg of a triangle is 23 cm.

Step-by-step explanation:

In a right triangle,

• The two sides or legs in a triangle are perpendicular to each other.
• The one leg is known as the base of the triangle and the other leg is known as the height of a triangle.
• The third side (non- perpendicular side) is known as the hypotenuse of the triangle.

Step 1 of 1

It is given that the area of a right triangle is 184 cm sq.

The one leg of a triangle = 16 cm

Or, the base of the triangle = 16 cm

Let the other leg of the triangle (say height) be H.

Then,

The area of a triangle = 1/2 × base × H

⇒ 184 = 1/2 × 16 × H

⇒ 184 = 8H

⇒ H = 184/8

⇒ H = 23

Therefore, the other leg of a triangle is 23 cm.

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