Topics
Trigonometry
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New Zealand
Level 6 - NCEA Level 1

Ratio of Sides in Right-Angled Triangles

Lesson
Practice

Interactive practice questions

Consider the triangle below:

A right-angled triangle named $ABC$ABC is shown with a right angle at vertex $C$C and an interior angle labeled as θ indicated at vertex $B$B. The triangle has each side labeled with its length. Side $AB$AB (the hypotenuse) measures $25$25 units. Side $AC$AC, the side opposite to angle θ measures $24$24 units. And side $BC$BC, the side adjacent to angle θ  measures $7$7 units.

Select the ratio that represents $\tan\theta$tanθ.

$\frac{25}{7}$257​

A

$\frac{24}{7}$247​

B

$\frac{7}{24}$724​

C

$\frac{24}{25}$2425​

D
Easy
< 1min

Consider the triangle below:

Easy
< 1min

Consider the angle $\theta$θ.

What is the value of the ratio $\frac{Opposite}{Adjacent}$OppositeAdjacent​?
Express your answer as a fraction.

Medium
< 1min

Consider the angle $\theta$θ.

What is the value of the ratio $\frac{Opposite}{Hypotenuse}$OppositeHypotenuse​?
Express your answer as a fraction.

Medium
< 1min
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Outcomes

GM6-6

Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions

91031

Apply geometric reasoning in solving problems

91032

Apply right-angled triangles in solving measurement problems

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