Question

The shortest side of a triangle similar to AXY Z is 20 units long. Find the other side lengths ofthe triangle1312NХ10The other side lengths areunits and units.

Answer 1

If two triangles are similar, it means that the ratio of their corresponding sides is equal.

Assuming the triangle that is similar to triangle XYZ is triangle ABC

Thus,

XY/AB = YZ/BC = XZ/AC

If the shortest side of triangle XYZ is XZ, then the shortest side of triangle ABC is AC. Thus,

If XZ = 10 and AC = 20, then

10/20 = 1/2 = 0.5

Thus,

XY/AB = 0.5

13/AB = 0.5

AB = 13/0.5

AB = 26

YZ/BC = 0.5

12/BC = 0.5

BC = 12/0.5

BC = 24

Thus, the other side lengths of the triangle are 24 units and 26 units