A figure.Short description, A figure.,Long description,

Question

The figure shows triangle A B C.

The measure of side B C is 63 mm. The measure of side C A is 36 mm.
Point E lies on side A B. The distance from A to E is 30 mm.
Point D lies on side C A.
Segment D E is parallel to side B C. The measure of segment D E is 42 mm.

Question
What is the length of segment A B?

Answer options with 4 options
A.
39 millimeters

B.
41 millimeters

C.
45 millimeters

D.
51 millimeters

Answer 1

To find the length of segment AB, we can use the fact that segment AB is the hypotenuse of right triangle ABC.

Using the Pythagorean theorem, we have:

AB^2 = BC^2 + CA^2

Substituting the given values, we have:

AB^2 = (63^2) + (36^2)
AB^2 = 3969 + 1296
AB^2 = 5265

Taking the square root of both sides, we get:

AB = √5265

Using a calculator, we find that AB ≈ 72.5

Since none of the answer options match the calculated value, it seems there is either an error in the given lengths or answer options.