Question

side of equilateral triangle PQR is 8 cm. Then find the area of triangle with side is half of the side of triangle PQR​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

The side of an equilateral triangle POR is 8 cm

To find:

The area of the triangle whose side is half of the side of triangle POR.

Solution:

The formula of the area of an equilateral triangle is as follows:

$\boxed{\bold{Area\:of\:an\:equilateral \:triangle = \frac{\sqrt{3} }{4}\times \:side^2 }}$

The length of the side of Δ POR = 8 cm

Since it is given that the side of the other triangle is half of the side of Δ POR, then,

The length of the side of the other triangle = $\frac{8}{4} = 4 \:cm$

 

Now, by using the above formula of the area of an equilateral triangle, we get

The area of the other triangle is,

= $\frac{\sqrt{3} }{4} \times 4^2$

= $\sqrt{3}\times 4$

= $1.732 \times 4$

= $6.928\:cm^2$

≈ $\bold{7\:cm^2}$

 

Thus, the area of the triangle whose side is half of the side of triangle POR is → 7 cm².

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