Question

2. What are the values of a and b? (1 point)
A) a=9/2, b=15/2
B) a=15/2, b=9/2
C) a=16/3, b=15/2
D) a=9/2, b=13/2

*Picture will be in comments* Also please explain how to get it, I'm really confused on how to solve it Thank you. Also I have A I just need help finding B!

Answer 1

ok a plus the 8 needs to be the longest side got that?

Answer 2

Yeah, I got for a 9/2.

Answer 3

You can use this theorem to find the length of a.

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.

Answer 4

The theorem gives 8 is to 6 as 6 is to a.

8/6 = 6/a Solve for a. @bluewarrirorneedshelp

Answer 5

>>Yeah, I got for a 9/2.

Yes.

What about the length for b?

Answer 6

36/a which is 9/2. how about for B?

Answer 7

You could use the Pythagorean Theorem for b.

b^2 = (9/2)^2 + 36

Answer 8

Or, you could use this theorem:

Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.

Answer 9

Try this and see what you get for b: b^2 = (9/2)^2 + 36

Answer 10

b^2=(9/2)+36
b^2=56.25

I'm lost there

Answer 11

Square the 9/2


b^2=(9/2)^2+36

b^2= 81/4 + 36

b^2 =

Answer 12

Do you have to find the common denominator in order to add 81/4+36?

Answer 13

You could.

36 * 4 = ?

Answer 14

7.5?

Answer 15

@Directrix

Answer 16

Yes. Is that an option?

Answer 17

Yes, so is it answer A? But then how do you get the 15/2?

Answer 18

Write as a fraction.

Answer 19

15/2

Answer 20

>>15/2 Correct.

Answer 21

Thank you so much for your help.

Answer 22

>>Yes, so is it answer A?

That fits what we got so I'd say yes to A.