Q19 of 25 Page 627

In a ∆ABC, if , show that the triangle is right-angled.

Given:


Need to prove: The triangle is right-angled


sin2A + sin2B = sin2C


We know,


So,





This is one of the properties of right angled triangle. And it is satisfied here. Hence, the triangle is right angled. [Proved]


More from this chapter

All 25 →
17

If in a ∆ABC, ∠C = 900, then prove that .

 18

In a ∆ABC, if , show that the triangle is isosceles.

 20

Solve the triangle in which a = 2 cm, b = 1 cm and c = cm.

 21

In a ΔABC, if a = 3 cm, b = 5 cm and c = 7 cm, find cos A, cos B, cos C.