Altitudes–On- Hypotenuse Theorem

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Presentation transcript:

Altitudes–On- Hypotenuse Theorem NOTES 9.3 Altitudes–On- Hypotenuse Theorem A B C D

Three similar triangles: small, medium and large. Altitude CD drawn to hyp. of △ABC C A B D Three similar triangles are formed. A C B D A D C B C Three similar triangles: small, medium and large.

Theorem 68: If an altitude is drawn to the hypotenuse of a right triangle then, The two triangles formed are similar to the given right triangle and to each other. Δ ADC ~ Δ ACB ~ Δ CDB A B C D

3 IMPORTANT PROPORTIONS

If AD = 3 and DB = 9, find CD.

If DB = 21 and AC = 10, find AC.