Question

A
B
C
D
E
F
51°
95°
34°
51°
95°
Solve for xx. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
A
B
C
D
E
F
51°
95°
34°
51°
95°
34°
20
27
36
x

Solve for xx. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
A
B
C
D
E
F
51°
95°
34°
51°
95°
34°
20
27
36
x

34°

Answer 1

I’m missing how the numbers and angles are placed on the diagram — I can’t tell which side x corresponds to which angle or which sides belong to which triangle. Could you either

- upload a picture of the figure, or
- tell me exactly which side length is opposite each labeled angle (for both triangles), and which vertex in the first triangle corresponds to which vertex in the second?

If you want to move forward immediately, here are the two standard ways this is solved depending on the situation — tell me which matches your figure and I’ll compute x:

1) Similar triangles
- If the two triangles are similar (angles 51°, 95°, 34° match in order), corresponding sides are proportional. Identify one pair of corresponding known sides to get the scale factor r, then multiply the known corresponding side in the other triangle by r to get x.

2) Single triangle (use Law of Sines)
- If x is a side in one triangle with known two angles and one side, use the Law of Sines:
x / sin(opposite-angle-of-x) = known-side / sin(opposite-angle-of-known-side)
then solve for x.

Give me which side is opposite which angle (or upload the figure) and I’ll compute x and round to the tenth.