Question

What is the length of AC?
B
181
1
1
140 - X
A
A. 112
B. 120
C. 105
D. 126

Answer 1

Answer:it’s 126

Step-by-step explanation:

Answer 2

The length of AC will be 126. Option D is correct. Similarity of the triangle is applied to find the value of AC.

What is SAS similarity theorem?

ΔABC ~ ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need

From the similarity of the triangle;

$\rm \frac{AB}{ED} =\frac{AC}{EC} \\\\ \rm \frac{81}{9} =\frac{140-x}{x} \\\\ 9x=140-x\\\\ 10x=140 \\\\ x=14$

The measure of AC is;

AC=140-x

AC=140-14

AC=126

The length of AC will be 126.

Hence,option D is correct.

To learn more about the SAS similarity theorem, refer;

https://brainly.com/question/22472034

#SPJ2