Find the missing lengths c and D:

its a 3d shape square
and looks like a triangle in the middle
a is 12 in
b is 5 in
c is not labeled
d is not labeled
then the height is 6 in

1 answer

To find the missing lengths c and d, we can use the Pythagorean theorem in the right triangle formed by sides a, b, and c.

a^2 + b^2 = c^2
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2
c = 13 inches

Now to find the length d, we can use the Pythagorean theorem in the right triangle formed by sides c, d, and the height.

c^2 + height^2 = d^2
13^2 + 6^2 = d^2
169 + 36 = d^2
205 = d^2
d = √205 inches or approximately 14.3 inches

Therefore, the missing lengths are c = 13 inches and d ≈ 14.3 inches.