Identify the angle that is opposite the hypotenuse.

$\angle ABC$∠ABC

A

$\angle CAB$∠CAB

B

$\angle ACB$∠ACB

C

$\angle ABC$∠ABC

A

$\angle CAB$∠CAB

B

$\angle ACB$∠ACB

C

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Consider the angle $\theta$θ.

What is the value of the ratio $\frac{\text{Opposite }}{\text{Adjacent }}$Opposite Adjacent ?

Consider the angle $\theta$θ.

What is the value of the ratio $\frac{Opposite}{Hypotenuse}$OppositeHypotenuse?

Consider the angle $\theta$θ.

What is the value of the ratio $\frac{Opposite}{Adjacent}$OppositeAdjacent?

Outcomes

GEO-G.SRT.6

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