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Question

The three sides of a triangle are 6 cm, 12 cm and 13 cm, then
  1. all the three angles are acute
  2. one angle is acute and other obtuse
  3. one angle is right and other acute
  4. none of these

A
one angle is acute and other obtuse
B
one angle is right and other acute
C
all the three angles are acute
D
none of these
Solution
Verified by Toppr

Here a=6 cm,b=12 cm and c=13 cm
We know if a2+b2>c2 then the triangle is acute angled triangle
c2=(13)2=169
a2+b2=(6)2+(12)2=180a2+b2>c2
So the triangle is acute angled triangle.
Hence all the three angles are acute.

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