Question

in Δ PQR, PQ= 19CM, QR= 24CM AND PR= 30CM. Show that Δ PQR is not a right- angle triangle. plz give step by step answer

Answer 1

Answer:

pqr is not a right angle triangle

Step-by-step explanation:

acc to Pythagoras theorem - base^2 +side^2 = hypo^2

hypo is longest side so ,

PQ = hypo = 30cm

now by substituting

19^2 +24^2 = 361 + 576 = 937

937 is not sqare of length of hypo

√937 is not equal to 30^2

so traingle PQR is not a right angle triangle

Answer 2

Answer:

ΔPQR is not a right-angle triangle.

Step-by-step explanation:

Given: ΔPQR, PQ= 19 cm, QR= 24 cm, and PR= 30 cm.

To find: ΔPQR is not a right-angle triangle.

Solution: To check whether the given triangle is a right angled triangle we have to apply Pythagoras property.

According to Pythagoras property, in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Hypotenuse is the longest side, here hypotenuse = 30 cm.

(19)² + (24)² = 361 + 576 = 937 ≠ (30)²

The square on the hypotenuse is not equal to the sum of the squares on the other two sides. Thus Pythagoras property is not satisfied .

Therefore, ΔPQR is not a right-angled triangle.

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