Two triangles ABC and PQR satisfy angle A = angle P = 90°, hypotenuse BC = QR = 13 cm and AB = PQ = 5 cm.
Using Pythagoras, find the length (in cm) of the third side AC, which equals PR.

Question

Two triangles ABC and PQR satisfy angle A = angle P = 90°, hypotenuse BC = QR = 13 cm and AB = PQ = 5 cm. Using Pythagoras, find the length (in cm) of the third side AC, which equals PR.

Accepted Answer

12. AC = √BC^2 - AB^2 = √169 - 25 = √144 = 12 cm. RHS confirms both triangles are congruent.

Two triangles ABC and PQR satisfy angle A = angle P = 90°, hypotenuse BC = QR = 13 cm and AB = PQ = 5 cm.
Using Pythagoras, find the length (in cm) of the third side AC, which equals PR.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Criteria for Congruence practice

Two triangles ABC and PQR satisfy angle A = angle P = 90°, hypotenuse BC = QR = 13 cm and AB = PQ = 5 cm.Using Pythagoras, find the length (in cm) of the third side AC, which equals PR.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Criteria for Congruence practice

Two triangles ABC and PQR satisfy angle A = angle P = 90°, hypotenuse BC = QR = 13 cm and AB = PQ = 5 cm.
Using Pythagoras, find the length (in cm) of the third side AC, which equals PR.