Question

6. In the adjoining figure, triangle PQS is an isosceles triangle with PQ = PS
= 5 cm, QR = 3 cm. PR is an altitude. Find the perimeter of APQR.
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Answer 1

ǟռֆաɛʀ :

In PQRS using Pythagoras theorem

(PQ)² = (QR)² + (PR)²

√(5)² - (3)² = PQ

∴ PQ = 9

Now perimeter of ▲PQR = 5 + 3 + 9 = 12cm

Answer 2

Answer:

Given ,

PQS is an isosceles triangle .

& PQ = PS = 5cm and QR = 3cm .

Using Pythagoras theorem in∆ PQR .

PQ^2 = PR^2 + QR^2

PR = √ 25 - 9 .

PR = 4 cm .

so, perimeter of triangle PQR

=. PQ + QR + PR

=. 5 + 3 + 4

=. 12 cm .