Question

What is the length of CT if CB = 10, BL = 4, and AB = 17?

a) 13.33
b) 12.50
c) 14.67
d) 15.00

Answer 1

To find the length of CT, use the Pythagorean theorem with the given lengths of CB, BL, and AB. The length of CT is approximately 10.77 units.

Step-by-step explanation:

To find the length of CT, we can use the Pythagorean theorem. CT is the hypotenuse of right triangle CBT.

We know that CB = 10, BL = 4, and AB = 17.

Using the Pythagorean theorem, we have:

CT^2 = CB^2 + BT^2

CT^2 = 10^2 + 4^2

CT^2 = 100 + 16

CT^2 = 116

Taking the square root of both sides, we find:

CT = √116 ≈ 10.77

Therefore, the length of CT is approximately 10.77 units (rounded to two decimal places).