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Two sides of a triangle are 8cm and 10 cm height of the triangle corresponding to 8 cm is 12 cm Find the height of the triangle corresponding to 10 cm

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gcantiga44

From the question, I assume that:

  • Two sides of a triangle are given
  • There are two triangles
  • The two triangles are corresponding to each other.
  • 8 cm = 12 cm
  • 10 cm = x cm

Place a similarity ratio:

[tex]\frac{8}{12} =\frac{10}{x}[/tex]

Cross multiply and solve:

8 · x = 12 · 10

8x = 120

x = 120 ÷ 8

x = 15

The height of the triangle corresponding to 10 cm is 15 cm.

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