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Find the length of the missing side of the triangle to the nearest tenth

Find the length of the missing side of the triangle to the nearest tenth-example-1
User Mgarman
by
4.5k points

2 Answers

3 votes

Answer:

I have seen a lot of people answer this but no one really got the answer I was looking for, the question asked you to add it and round it and no one did that, so I had to round everything and add it up and I got 75.5.

Explanation:

When I put the other answer in it said it was wrong, but when I put 75.5 it disappeared and it let me answer the next one.

Find the length of the missing side of the triangle to the nearest tenth-example-1
Find the length of the missing side of the triangle to the nearest tenth-example-2
User Watery
by
4.6k points
7 votes

Answer:

1) a = 8.944

2) b = 14.45

3) c = 10.29

4) a = 18.76

5) b = 8

6) c = 15

Explanation:

We can find the third side in each case by using Pythagora's theorem.

hypothenuse² = (adjascent cathetus)² + (oposite cathetus)²

1)

12² = a² + 8²

a² = 12² - 8²

a = sqrt(144 - 64)

a = sqrt(80) = 8.944

2)

15² = b² + 4²

b = sqrt(15² - 4²)

b = sqrt(225 - 16)

b = sqrt(209) = 14.45

3)

c² = 5² + 9²

c = sqrt(25 + 81) = sqrt(106)

c = 10.29

4)

26² = 18² + a²

a² = 26² - 18²

a = sqrt(26² - 18²)

a = sqrt(352) = 18.76

5)

10² = b² + 6²

b² = 10² - 6²

b = sqrt(10² - 6²)

b = sqrt(100 - 36)

b = sqrt(64) = 8

6)

c² = 9² + 12²

c = sqrt(9² + 12²)

c = sqrt(81 + 144)

c = sqrt(225) = 15

User Vishal Raj
by
4.3k points