Question

In a triangle ABC, P, Q and R are the mid-points of the sides BC, CA and AB respectively. If AC = 21cm, BC = 29cm and AB = 30cm, find the perimeter of the quadrilateral ARPQ​

Answer 1

Step-by-step explanation:  the answer is  80 .

to find the perimeter we have to add the sides

21 + 29 + 30 = 80.

Answer 2

Step-by-step explanation:

Hi Friend,

Here is your answer

Note:- Midpoints can separate a side in two equal halves.

AC = 21 cm separated by a midpoint so we get two equal halves as 10.5

BC = 29 cm separated by a midpoint so we get two equal halves as 14.5

AB = 30 cm separated by a midpoint so we get two equal halves as 15

And if we join the sides and make a quadrilateral ARPQ we will get a Parallelogram.

We know that the opposite sides of the Parallelogram are equal.

So We got one side of the Parallelogram as 15 cm and the other as 10.5 cm.

Now Perimeter of the Parallelogram is 2 (a + b)

That is 2 (15 + 10.5)

= 2 (25.5)

= 2 × 25.5

= 51 cm

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