Question

Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b. What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units

Answer 1

c

Explanation:

Answer 2

5 and one-third units

Explanation:

In the given question, we are given the following values:

The length of W Y = 4

The length of Y X = a

The length of Z Y = 3

We are to find a

From the describe diagram above, we would have the following

WY:ZY = YX :WY

WY/ ZY = YX/WY

4/3= a/4

Cross Multiply

4× 4 = 3a

Divide both sides by 3

a = 16/3

a = 5 1/3 units

a = 5 and one third units