Given: PQ ⊥ QR , PR=20, SR=11, QS=5 Find: The value of PS.
2 answers:
1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:
2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:
Therefore, the answer is: The value of PS is 13.
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<u>Given</u>
The measure of the arc AC is
The measure of the angle ABC is
We need to determine the value of x.
<u>Value of x:</u>
The inscribed angle theorem states that, "the measure of an inscribed angle is half the measure of the intercepted arc".
Applying this theorem, we have;
Substituting the values, we get;
Thus, the value of x is 41°
Therefore, the measure of angle ABC is 41°