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2) What is the value of y?

A) 2 B) 10 C)9 D)12

(geometry)​

2) What is the value of y? A) 2 B) 10 C)9 D)12 (geometry)​-example-1

1 Answer

3 votes

Answer:

D) y = 12

Explanation:

One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:


(a_1)/(b)=(a_2)/(c)

Where (
a_1) and (
a_2) are a part of the side that is intersected by the angle bisector and (
b) and (
c) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.


(4)/(8)=(6)/(y)

Simplify,


(1)/(2)=(6)/(y)

Cross products,


12=y

User Shrikant Tudavekar
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