Question

PLEASE HELP IF YOU CAN


\If e=16 and f=9, solve for lengths a,b,c, and d. Diagram in comments

Answer 1

You should know that the big right triangle is similar to the two smaller right triangles.
So you can set up ratios of corresponding sides.

Answer 2

Okay..I think I know how to do that

Answer 3

First find d, and then you can find a and b.
c = e+f

Answer 4

a=15
b=20
c=25
d=12

Answer 5

I got c. How did you come up with the rest, @harsh314

Answer 6

have u read trigonometry

Answer 7

I've done a little bit

Answer 8

cera: use ratios of corresponding sides
for example, long leg to short leg
\[ \frac{e}{d}= \frac{d}{f} \]
to find d
once you know d, you can use pythagoras to find a and b

Answer 9

i can explain that now
in triangle ABC right angled at C
take cosA=b/c (i)
now c=25
in triangle ACD right angled at D
cosA=e/b (ii)
e=16
from (i) and (ii)
we have b=20
now b^2+a^2=c^2
so a=15
now in triangle ADC we have b^2=d^2+c^2
d=12

Answer 10

or you can use the ratio hypotenuse/short leg
\[ \frac{a}{f}= \frac{c}{a} \]
to find a