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Chapter 4: Q6. WE (page 137)

For the following figure, find the value of x.

Short Answer

Expert verified

The value ofx=6.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of isosceles triangles.

An isosceles triangle is a triangle that has two sides of equal length and two equal angles.

03

Step 3. Find the value.

Since the triangle is isosceles triangles thusAC=BC and 鈭�ABC=鈭�BAC.

Therefore, find the value ofx as follows:

AC=BC4x鈭�6=184x=18+6x=6

Therefore, the value of x=6.

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Most popular questions from this chapter

For the following figure, (a) List two pairs of congruent corresponding sides and one pair of congruent corresponding angles in 螖YTRand 螖XTR. (b) Notice that, in each triangle, you listed two sides and nonincluded angle. Do you think that SSA is enough to guarantee that two triangles are congruent?

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

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螖ABO鈮�螖___

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.
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