Question

Find the missing side to the triangle in the attached image.

Answer 1

Explanation:

1. formula for Pythagorean Theorem for right trangles is a^2+b^2=c^2

2. a=30 and b=16, so (30)^2+(16)^2=c^2

3. (30)^2=900 and (16)^2=256

4. 900+256=1156

5. 1156=c^2

6.

7. the square root of 1156 is 34, so c=34

8. The missing side of the triangle, labeled as "x" is 34

Answer 2

x=34

Explanation:

1. formula for Pythagorean Theorem for right trangles is a^2+b^2=c^2

2. a=30 and b=16, so (30)^2+(16)^2=c^2

3. (30)^2=900 and (16)^2=256

4. 900+256=1156

5. 1156=c^2

6.
`√(1156) =√(c^2)`

7. the square root of 1156 is 34, so c=34

8. The missing side of the triangle, labeled as "x" is 34