SOLUTION: Three sides and two angles of a triangle are given. Find the measure of the third angle and name each angle and each side using the correct corresponding uppercase or lowercase le

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Question 1105348: Three sides and two angles of a triangle are given. Find the measure of the third angle and name each angle and each side using the correct corresponding uppercase or lowercase letter.
A = 30°, B = 60°, C = third angle
sides: 5 ft, ft,10 ft

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
30%2B60%2BC=180

highlight%28C=90%29

The side opposite of angle going in the same order as their sizes.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
Angle C is, obviously, 180° - (30°+60°) = 90°.


In an  (30°,60°,90°)  triangle the hypotenuse length is twice the shorter leg length.


Therefore, the shorter leg is  a = 5 ft,  the longer leg is  b = 5%2Asqrt%283%29 ft  and  the hypotenuse  is  c = 10 ft.