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 = (
)^2 + b^2
225 = 50 + b^2
175 = b^2
b =
#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!! :)