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Grade 11

Applications of the cosine law

Interactive practice questions

A triangle has sides of length $13$13 cm, $15$15 cm and $5$5 cm. The largest angle has a size of $x$x$^{\circ}$. Calculate $x$x.

Round your answer to the nearest degree.

Easy
3min

Find the length of the diagonal, $x$x, in parallelogram $ABCD$ABCD.

Round your answer to two decimal places.

Easy
2min

A parallelogram has a side of length $13$13 cm and a diagonal of length $58$58 cm. If the angle between these two is $17^\circ$17° and the length of the other side is $x$x cm, find $x$x.

Round your answer to one decimal place.

Easy
2min

Mae went for a bike ride on Sunday morning from Point A to Point B , which was $18$18 kilometers long. She then took a $126^\circ$126° turn and rode from Point B to Point C, which was $21$21 kilometers long. How far was she from her starting point?

Round your answer to two decimal places.

Easy
2min
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Outcomes

11U.D.1.6

Pose problems involving right triangles and oblique triangles in two dimensional settings, and solve these and other such problems using the primary trigonometric ratios, the cosine law, and the sine law (including the ambiguous case)

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