Trigonometry

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

Approx 4 minutes

Find the length of the diagonal, $x$`x`, in parallelogram $ABCD$`A``B``C``D`.

Round your answer to two decimal places.

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.

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.

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Solve problems involving the measures of sides and angles in acute triangles