triangle KLM has vertices K (0,0), L (18,0), and M (6,12) write equations for the altitudes to the three sides of thetriangle. i got the LM and MK sides. but i got y=12 for the KL one. the book says it's x=6.

polynnxu

polynnxu

Answered question

2022-08-04

triangle KLM has vertices K (0,0), L (18,0), and M (6,12)
write equations for the altitudes to the three sides of thetriangle.
i got the LM and MK sides. but i got y=12 for the KL one. the book says it's x=6.

Answer & Explanation

Mariam Hickman

Mariam Hickman

Beginner2022-08-05Added 13 answers

To solve algebraically,
We can use point-slope formula
y-y1=m(x-x1) where m=slope = y 2 y 1 x 2 x 1
y y 1 = y 2 y 1 x 2 x 1 ( x x 1 )........ Plug m into formula
(y-y1)(x2-x1)=(y2-y1)(x-x1)......... multiply by (x2-x1) on both sides
(y-12)(6-6)=(0-12)(x-6)........ (x1, y1)=(6,12) (x2,y2)=(6,0)
(y-12)*0=-12(x-6)........ Simplify
0=-12(x-6)........ 0* any expression = 0
x-6=0....... if 2 factors multiplied = 0, either one or both factors =0
x=6

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