Question

Select all of the conditions for which it is possible to construct a triangle.

Answer 1

The possible condition are -

1)ASA where 2 angles and 1 side is given.

2)SSS where 3 sides are given

3) SAS where 2 sides and a angle is given

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Answer 2

Answer:

Therefore, it is possible to construct the triangle.

As we know that, sum of any two sides of a triangle is greater than the third side and difference between two sides is less than third side . So, sum of two sides 4 and 5 is 9, which is not greater than 15cm..

In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third. c) More than one triangle can be drawn with Angle A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.

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