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Question 5
Write True or False and give reasons for your answer:

A ΔABC can be constructed in which B=105, C=90 and AB + BC + CA = 10cm.

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Solution

False

Here, B=105,C=90

And AB+BC+CA=10 cm

We know that, sum of angles of a triangle is 180.
A+B+C=180

Here,
B+C=105+90

=195>180, which is not possible in case of triangle.

Thus, ΔABC with given conditions cannot be constructed.

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