Mid-Chapter Quiz
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Notice that the given figure is a 30^(∘)-60^(∘)-90^(∘) triangle.
x=4sqrt(3), y=6
Notice that the given right triangle has a marked angle measuring 30^(∘). Therefore, by the Triangle Angle Sum Theorem the measure of the third angle must be 60^(∘).
Commutative Property of Multiplication
sqrt(a)* sqrt(a)= a
Multiply
We found that the measure of the longer leg is 6. Also, in a 30^(∘)-60^(∘)-90^(∘) triangle, the hypotenuse is 2 times the length of the shorter leg. x= 2 * 2sqrt(3) ⇔ x=4sqrt(3)