Write and simplify an expression for the difference between the perimeters of the figures
1 answer:
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Answer:
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.
<u>Triangle A</u>
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:
<u>Triangle B</u>
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:
<u>Triangle C</u>
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!