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Trigonometry
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United KingdomEngland
Key Stage 4

Side lengths with Exact Values

Lesson
Practice

Interactive practice questions

Find the length of side $h$h.

A right-angled triangle, $\triangle ABC$△ABC, is labeled with vertices $A$A, $B$B, and $C$C. The right angle is located at vertex $B$B indicated by a small blue square. The angle at vertex $A$A, $\angle BAC$∠BAC, measures $30^\circ$30°. The angle at vertex $C$C, $\angle BCA$∠BCA, measures $60^\circ$60° and is marked with a single blue arc. The hypotenuse $AC$AC is marked with a single tick mark. Side $AB$AB measures $\sqrt{3}$√3 units. The side $BC$BC measures $h$h units. The $60^\circ$60° angle is adjacent to side $h$h. The $30^\circ$30° angle is opposite the side $h$h.
Easy
1min

Consider the adjacent figure:

Easy
1min

Consider the adjacent figure:

Easy
1min

Find the length of side $x$x, leaving your answer as an exact value.

Easy
1min
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