Question

Question 5
एक त्रिभुज PQR का क्षेत्रफल 48 वर्ग सैंटीमीटर है।
यदि इसकी ऊंचाई 8 cm हो तो आधार का माप क्या
होगा?The area of a triangle PQRis 48 square
centimeters. If its height is 8 cm, what will be
the measurement of the base?
11cm​

Answer 1

Given:

The area of a triangle PQR is 48 square centimeters.

If its height is 8 cm

To find:

What will be the measurement of the base?

Solution:

We know,

$\boxed{\bold{Area \:of\:a \:triangle = \frac{1}{2} \times base \times height}}$

For the given Δ PQR, we have

The area of Δ PQR = 48 cm²

The height of the Δ PQR = 8 cm

Now, on substituting the given values in the formula of the area of a triangle, we get

$48 = \frac{1}{2} \times base \times 8$

$\implies 48 = base \times 4$

$\implies base = \frac{48 }{4}$

$\implies \bold{base = 12\:cm}$

Thus, the measurement of the base of the triangle PQR is → 12 cm.

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