Three right triangles are drawn in the coordinate plane, and the coordinates of their vertices are labeled.
For each right triangle, label the lengths of the sides.

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

The LL is from (7, -9) to (7, 4)

The length of the LL is:

The hypotenuse is:

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

The hypotenuse is:

I hope it helps you!

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question