Question

If the measures of two sides of a triangle are 5 yards and 9 yards, what is the possible measure of the third side if it will form a triangle?


3 yards
7 yards
1 yards
2 yards

Answer 1

The possible measure of the third side of the triangle is; 7 yards.

Triangle inequality theorem

According to the triangle inequality theorem;

The length of the third side, x of a triangle can be predicted as follows;

Difference of two sides < x < Sum of two sides

Therefore, we have;

• 9-5 < x < 9+5

• 4 < x < 14.

Therefore, since 7 falls within the range, the possible measure of the third side of the triangle is; 7 yards.

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