Question

Find the length of the base of a triangle having area 155cm and altitude 23.5cm.​

Answer 1

Answer:

13.2 cm .

Step-by-step explanation:

Given :

Area of triangle = 155 cm²

Altitude = 23.5

We know :

Area of triangle = 1 / 2 × Base × Altitude

155 = 1 / 2 × Base × 23.5

155 × 2 = Base × 23.5

Base = 155 × 2 / 23.5

Base = 310 / 23.5

Base = 13.2 cm .

Answer 2

Base of the triangle is 13.2 cm.

Step-by-step explanation:

Given :-

Area of the triangle is 155 cm.

Altitude of the triangle is 23.5 cm.

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To Find :-

We have to find the base of the triangle.

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Solution :-

As, we have to find the base of the triangle.

Area of triangle = 1/2 * Base * Altitude

Area of the triangle is given.

Altitude of the triangle is also given.

Let the base of the triangle be x cm.

When, we put the value in the above given formula of the area of the triangle then we can get the value of x.

A.T.Q

$155 = \frac{1}{2} \times x \times 23.5 \\ \\ 155 \times 2 = x \times 23.5 \\ \\ 310 = x \times 23.5 \\ \\ x = \frac{320}{23.5} \\ \\ 13.2 \: cm = x$

Hence, the Base of the triangle is 13.2 cm.

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Verification :-

For verification again put the value of the Base and altitude. And put that equal to the area of the triangle. If L.H.S got equal to thr R.H.S then our answer is correct.

A.T.Q

$155 = \frac{1}{2} \times 13.2 \times \times 23.5 \\ \\ 155 = 23.5 \times 6.6 \\ \\ 150 = 150$

L.H.S = R.H.S

Hence Verified