Question

Help me please I have this due in 20 minutes

Answer 1

Pythagorean Theorem: a^2 + b^2 = c^2

-A and B are the legs of the triangle

-C is the hypotenuse, the longest side

#10.

15^2 = (
`5√(2)`)^2 + b^2

225 = 50 + b^2

175 = b^2

b =
`5√(7)`

#11.

15^2 + 32^2 = 36^2

225 + 1024 = 1296

1249 does not equal 1296

This is not a right triangle.

#12.

8^2 + 15^2 = 17^2

64 + 225 = 289

289 = 289

This is a right triangle.

#13.

5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

This is a right triangle.

#14.

40^2 + 22.5^2 = c^2

1600 + 506.25 = c^2

2106.25 = c^2

c = 46 inches

#15.

15^2 + b^2 = 17^2

225 + b^2 = 289

b^2 = 64

b = 8 feet

Hope this helps!! :)