Question

What is the length of bc in the right triangle?

Answer 1

D. 39

Explanation:

The three interior angles of a right triangle always have a sum of 180°, and right angles always equal 90°.

Adding the angles shown here,

36+15+90 = 141

And, 180 - 141 = 39°.

Therefore, the length of angle BC is 39°.

Answer 2

D.39

Explanation:

Pythagorean Theorem: a^2+b^2=c^2 (Where a and b are the legs of the triangle and c is the hypotenuse)

Using this:

(AB)^2+(AC)^2=(BC)^2 (Pythagorean theorem)

15^2+36^2=(BC)^2 (Substitution)

225+1296=(BC)^2

(BC)^2=1521

BC=39