EllamarieR778442 EllamarieR778442
  • 29-10-2022
  • Mathematics
contestada

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.

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 class=

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LyliaH451798 LyliaH451798
  • 29-10-2022

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

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