geometry question help

Question

In the figure given is a rectangle. Based on the measurement of the sides and diagonal, what is m<ABD

A. 90°

B. 60°

C. not enough information

D. 30°

E. 45°

Answer 1

Hi Lia!

You can see that this is a right triangle and that the side lengths are 9 and 18. Since the hypotenuse is twice the length of the short leg of 9, this means this is the special right triangle that we call a 30*-60*-90* triangle. the 30* angle is always on the other end from the shortest side, which in this case is the 9 side.

So the answer to your question is 30 degrees.

Please let me know if you have any additional questions and if you'd like to set up a tutoring session! Best of luck; I believe in you!

Answer 2

60 degrees.

In a 306090 triangle hypotenus is always double the length of the shorter leg