Grade 12

Side lengths with exact values

Interactive practice questions

Find the length of side $h$h.

A right-angled triangle, $ABC$ABC, is illustrated where a small square placed at vertex $B$B to indicate the right angle. The other two interior angles are angle $C$C that measures $60^\circ$60° and angle $A$A that measures $30^\circ$30°. Side $AB$AB is opposite of angle $C$C. Side $AB$AB is adjacent to angle $A$A. Side $AB$AB measures $\sqrt{3}$√3 units. Side $BC$BC is opposite of angle $A$A. Side $BC$BC is adjacent to angle $C$C. Side $BC$BC measures $h$h units. Side $AC$AC is the hypotenuse with a hash mark but is not labeled.

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

Outcomes

12CT.C.1.1

Determine the exact values of the sine, cosine, and tangent of the special angles 0°, 30°, 45°, 60°, 90°, and their multiples

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