Grades 11-12 Video Solutions 2010-11&12 Video Solutions 2010 problem18

11&12 Video Solutions 2010 problem18

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Video Summary

The triangle's side lengths are 13, x, and y, with the condition x * y = 105. After factoring 105, the possible pairs (x, y) are (21, 5), (3, 35), and (7, 15). By applying the triangle inequality principle, only the pair (7, 15) forms a valid triangle, as the sum of any two sides must be greater than the third side. Thus, the sides of the triangle are 7, 15, and 13. The perimeter of the triangle is the sum of these sides, which is 35. Therefore, the perimeter is 35.

Keywords

triangle inequality

triangle perimeter

side lengths

factor pairs

valid triangle