Question

In triangle PQR; PQ = 20 cm , QR = 21 cm and SR = 29 cm . Is this triangle a right triangle? Give reasons for your answer.​

Answer 1

Answer:

no it is not

because if it was a right angle so  1 angle should be 90 cm

so it is not

Step-by-step explanation:

Answer 2

EXPLANATION.

In triangle PQR.

⇒ PQ = 20cm.

⇒ QR = 21cm.

⇒ SR = 29cm.

As we know that,

In right angled triangle.

Sum of two sides of a triangle is equal to the third sides.

[Hypotenuse]² = [Perpendicular]² + [Base]².

⇒ H² = P² + B².

Hypotenuse > Perpendicular > Base.

⇒ SR = 29cm [Hypotenuse].

⇒ QR = 21cm [Perpendicular].

⇒ PR = 20cm [Base].

Put the values in the equation, we get.

⇒ (29)² = (21)² + (20)².

⇒ 841 = 441 + 400.

⇒ 841 = 841.

⇒ L.H.S = R.H.S.

It means this triangle is a right angled.