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Question

Three sides of a triangle are 6 cm, 12 cm and 13 cm then
  1. all three angles are acute
  2. one angle is a right angle and others acute
  3. one angle is obtuse, one acute and one right angle
  4. one angle is obtuse and others acute

A
one angle is obtuse, one acute and one right angle
B
one angle is obtuse and others acute
C
all three angles are acute
D
one angle is a right angle and others acute
Solution
Verified by Toppr

We know that,
longest side² < other side² + other side² then is acute.

The sides of the triangle are 6 cm, 12 cm and 13 cm.
Since, 132<62+122
Thus, the triangle is an acute angled triangle.

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