# The Law of Cosines - 9th grade (14y) - math problems

#### Number of problems found: 4

• Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
• Triangle and its heights
Calculate the length of the sides of the triangle ABC, if va=5 cm, vb=7 cm and side b is 5 cm shorter than side a.
• 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.
• Triangle SAS
Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.

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Cosine rule uses trigonometric SAS triangle calculator.