Solving Triangles - High School Math
Card 0 of 4
What is the length of CB?
What is the length of CB?
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If 
equals 
and 
is 
, how long is 
?
If
This problem can be easily solved using trig identities. We are given the hypotenuse 
and 
. We can then calculate side 
using the 
.
Rearrange to solve for 
.
If you calculated the side to equal 
then you utilized the 
function rather than the 
.
This problem can be easily solved using trig identities. We are given the hypotenuse
Rearrange to solve for
If you calculated the side to equal
Compare your answer with the correct one above
Solve for 
.
(Figure not drawn to scale).
Solve for
(Figure not drawn to scale).
The side-angle-side (SAS) postulate can be used to determine that the triangles are similar. Both triangles share the angle farthest to the right. In the smaller triangle, the upper edge has a length of 
, and in the larger triangle is has a length of 
. In the smaller triangle, the bottom edge has a length of 
, and in the larger triangle is has a length of 
. We can test for comparison.
The statement is true, so the triangles must be similar.
We can use this ratio to solve for the missing side length.
To simplify, we will only use the lower edge and left edge comparison.
Cross multiply.
The side-angle-side (SAS) postulate can be used to determine that the triangles are similar. Both triangles share the angle farthest to the right. In the smaller triangle, the upper edge has a length of
The statement is true, so the triangles must be similar.
We can use this ratio to solve for the missing side length.
To simplify, we will only use the lower edge and left edge comparison.
Cross multiply.
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Solve for 
.
(Figure not drawn to scale).
Solve for
(Figure not drawn to scale).
We can solve using the trigonometric definition of tangent.
We are given the angle and the adjacent side.
We can find 
with a calculator.
We can solve using the trigonometric definition of tangent.
We are given the angle and the adjacent side.
We can find
Compare your answer with the correct one above