Question

The link to the picture:
https://lh3.googleusercontent.com/--UozhbT_wTQ/UWQilkA-B7I/AAAAAAAAACU/oHG_1jSHb2Y/s646/photo+%283%29.JPG

1. If e= 8 and f= 4, find d.
a) 16
b) 12
c) 32
d) 4

Is it A?

2. If b= 5 and d= 4, find c.
a) 1
b) 20
c) 6.25
d) 9

Is it C?

Thank you for your help :)

Answer 1

This is the photo that the questions are referring to.

Answer 2

to get d, use this equation
8^2 = 4 * d
solve for

Answer 3

8^2 = 4 * d or
4d = 64
d = 64/4 = 16
u were right

Answer 4

to get c, look at that diagram
c = f + d
c = 4 + 16 = ...

Answer 5

So you're saying c=20, but how do we know if question 1 applies to question 2? The value for d we got in question 1 may not be relevant to question 2... Am I making sense?

Answer 6

For #1, you need this theorem:

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.

f is to e as e is to d

f/e = e/d

4/8 = 8/d

Cross multiply

4d = 64

d = ? @liquidhendrix70

Answer 7

For #2, you need 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.

4 is to 5 as 5 is to c

4/5 = 5/c

Cross multiply and solve for c.

Answer 8

well, #2 no relation with #1