Question

I need help with these.

Answer 1

See below.

Explanation:

1.

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x = 13

2.

3^2 + x^2 = [sqrt(10)]^2

9 + x^2 = 10

x^2 = 1

x = 1

3.

1^2 + x^2 = 4^2

1 + x^2 = 16

x^2 = 15

x = sqrt(15)

4.

[sqrt(27)]^2 + x^2 = 6^2

27 + x^2 = 36

x^2 = 9

x = 3

5.

15/5 = c/sqrt(29)

5c = 15 * sqrt(29)

c = 3sqrt(29)

6.

26/13 = x/12

2 = x/12

x = 24