Question

What is the value of a?

5 units
units
units
7 units

Answer 1

the answer is b

Explanation:

Answer 2

`a=5(1)/(3)` is the answer.

Explanation:

In the given triangle YWZ

WZ² = YW² + YZ²

c² = 4² + 3² = 16 + 9 = 25

c = 5

In the ΔXYW

b² = 4² + a²-----(1)

In the right angle triangle WXZ

(a + 3)² = b² + c²

a² + 9 + 6a = b²+ c²

By putting value of b² from equation 1.

a² + 9 + 6a = 16 + a² + 25

6a + 9 = 41

6a = 41 - 9

6a = 32

a = 32/6 = 16/3

`a=5(1)/(3)`

So
`a=5(1)/(3)` is the answer.