Question

What is the value of c?

4 units
5 units
6 units
7 units

Answer 1

5 units

Explanation:

You could use the Pythagorean Theorem since triangle WYZ is a right triangle. We know it is right because angle WYZ has the little square there meaning 90 degree measurement at that angle.

So the two legs have measurements 4 and 3.

We need to find the hypotenuse. We know c represent the hypotenuse measurement because it is opposite the 90 degree angle.

We need to solve:

`4^2+3^2=c^2`

`16+9=c^2`

`25=c^2`

Take square root of both sides:

`5=c`.

Eventually you will start to remember (3,4,5) has a Pythagorean triple where the smaller measurements in the triple represent leg measurements while the largest represents the hypotenuse.

Answer 2

5 units

Explanation:

Use the Pythagorean theorem, 4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

5 = c