Question

What is the value of x in the figure below?http://cdn.activelms.com/data/042c73b1-ddf5-4fd6-91e7-6c8434228f3d/Geometry%20Images/unit%207-5%20q6.png
a) 3
b) 8
c) 6
d) 12

Answer 1

Is b)8 correct?

Answer 2

so you can calculi it in so much different ways
how you get 8 ?

Answer 3

let this altitude being h

so than you can writing using the theorem of altitude from the right angle on hypotenuse

h^2 = (x+1)(x+4)

from this right triangle on the left part you can writing

h^2 = (2x)^2 -(x+4)^2

from this right triangle on the right part you can writing

h^2 = 12^2 -(x+1)^2

so there are so much equations what you can using to calculi the value of x

ok ?

Answer 4

This the theorem at work here:

Triangle Angle Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the sides that formed the angle.

Answer 5

2x is to 12 as (x + 4) is to (x + 1)

Solve this for x: