52.2k views
0 votes
Can you help me find the value of x?

Can you help me find the value of x?-example-1
User Antanta
by
8.6k points

2 Answers

3 votes

Answer:

x = 12

Explanation:

An angle bisector is a line, ray, or segment that divides an angle into two congruent angles.

The Angle Bisector Theorem states that in a triangle, when an angle bisector intersects the opposite side, it divides it into two segments whose lengths have a proportional relationship with the lengths of the other two sides of the triangle.


\boxed{\sf (Segment\;1)/(Segment\;2)=(Side \;1)/(Side\;2)}

From inspection of the given triangle, we can see that the angle between the sides labelled "15" and "20" has been bisected (divided into two equal parts). Therefore, according to the Angle Bisector Theorem:


(x)/(9)=(20)/(15)

Solve the equation for x by dividing both sides by 9:


(x)/(9)\cdot 9=(20)/(15)\cdot 9


x=(180)/(15)


x = 12

Therefore, the value of x is 12.

Can you help me find the value of x?-example-1
User Wanghq
by
8.4k points
7 votes

Answer:

x = 12

Explanation:

the segment splitting the angle into 2 equal parts is an angle bisector

It divides the side opposite the angle into segments that are proportional to the other 2 sides , that is


(x)/(9) =
(20)/(15) ( cross- multiply )

15x = 9 × 20 = 180 ( divide both sides by 15 )

x = 12

User Tricknology
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories