Inner angles

The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.

Correct answer:

a =  5.18 cm

Step-by-step explanation:

A=30 B=45 C=105 c=10 cm a/c=sin(A)/sin(C)=sin(30)/sin(105)1.018 a=c sinA°/sinC°=c sin30° /sin105° =10 sin30° /sin105° =10 0.5/0.965926=5.18=5.18 cm

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Tips to related online calculators
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1

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