140 is ur answer…
Im not really sure but I think this is it
Really hope this helps
The length of
is given by the relationship between the similar triangles
ΔABD and ΔBDC.
= <u>80</u>
Reasons:
The given parameters are;
The altitude of triangle ΔABD = 
The hypotenuse of formed right triangle = 
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;

Which gives;
= 
Therefore;



Which gives;

Learn more about similar triangles here:
brainly.com/question/4618367
Answer: sin
= ±
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A =
& cos a=
,thus we get
sin
=±
∴ sin
=±
= ±
since ,360° <
<450°
,180° <
<225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!