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Question 14

If in an isosceles triangle, each of the base angle is 40, then the triangle is

a) Right angled triangle
b) Acute angled triangle
c) Obtuse-angled triangle
d) Isosceles right-angled triangle


Solution

As we know, the sum of the interior angles of a triangle is 180

In ΔABC,
A+B+C=180   [angle sum property of a triangle]
A+40+40=180A=18080
A=100     [obtuse angle]
Therefore, it is an obtuse angled triangle, since it has one angle which is greater than 90

 


Mathematics
NCERT Exemplar
Standard VII

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