Q4 of 19 Page 54

Check whether the following can be the sides of a right angled triangle AB = 25 cm, BC = 24 cm, AC = 7cm.

In a right angled ΔABC, AB = 25 cm, BC = 24 cm and AC = 7 cm.

We know that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.


⇒ In ΔABC, AB2 = BC2 + AC2


⇒ 252 = 242 + 72


⇒ 625 = 576 + 49


⇒ 625 = 625


∴ The given sides can be the sides of a right angled triangle.


More from this chapter

All 19 →
2

In an isosceles triangle AB = AC and B = 65o. Which is the shortest side?

 3

PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

 5

Q and R of a triangle PQR are 25° and 65°. Is PQR a right-angled triangle? Moreover, PQ is 4cm and PR is 3 cm. Find QR.

 6

A 15 m long ladder reached a window 12m high from the ground. On placing it against a wall at a distance x m. Find x.