I need help asp plz helpppp!!!!
1 answer:
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Answer:
A.
Step-by-step explanation:
We can see from our given diagram that angle RST is formed by intersection of two tangents of our circle.
We will use Tangent-Tangent Angle theorem, which states that if an angle is formed by two intersecting tangents, then the measure of the angle is one-half the difference of the measures of the intercepted arcs (the major arc - the minor arc).
We can see that major arc is RT and minor arc is UV.
Upon substituting measures of our major arc and minor arc we will get,
Therefore, measure of RST is 64 degrees and option A is the correct choice.
The answer is where
and
<em>Solution sketch:</em>
Apply the Pythagorean theorem to find and
which you then use to find
and
Apply Heron's formula to
to find that its area is 10, and then use
(base times height over 2) to finish by solving for
.