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10.03 Trigonometric ratios

Adaptive
Worksheet

Interactive practice questions

Two right triangles are measured, and a pair of corresponding angles are found to have a sine ratio of $\frac{240}{250}$240250 and $\frac{24}{25}$2425 respectively.

Are the two triangles similar?

Yes

A

No

B
Medium
< 1min

Two right triangles are measured and a pair of corresponding angles are found to have a tangent ratio of $\frac{140}{160}$140160 and $\frac{70}{80}$7080 respectively.

Medium
< 1min

Two right triangles are measured and a pair of corresponding angles are found to have a tangent ratio of $\frac{320}{420}$320420 and $\frac{316}{416}$316416 respectively.

Medium
< 1min

Consider the triangle below:

Medium
< 1min
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Outcomes

G.SRT.C.6

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

G.SRT.C.7

Explain and use the relationship between the sine and cosine of complementary angles.

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