Triangle ABC is isosceles with AC=BC=13 and AB=10. M and N are the feet of the perpendiculars from A and B to Bc and AC respectively. Find Bn.
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Hello, Coach!
Triangle ABC is isosceles with
are the feet of the perpendiculars from , resp.
FindWe see thatCode:C * /|\ / | \ / | \ / | \ 13 / | \ 13 / 12| \ / | \ / | \ / | \ * - - - - + - - - - * A 5 D 5 B
. . From Pythagorus: .
We have similar right triangles: .Code:C * /|\ / | \ / | \ / | \ N / | \ * | \ / * | \ / | * \ / | * \ * - - - - + - - - - * A D B
. . (They share .)
Hence, we have: .Code:C * /| / | / | / | N 13 / | 12 * / | / * / | / * / | / * / | * - - - - - - - - - * * - - - - * A 10 B A 5 D
Therefore: .