Tangent Lines and Right Triangles

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

• 26

• 57

• 66

• 114

What is the arc measure FE?

• 54°

• 90°

• 27°

• 31.5°

IN A RIGHT-ANGLED TRIANGLE, THERE ARE THREE MAIN TRIGONOMETRIC RATIOS: (Select all that apply)

• SINE (SIN)

• SI (SIN)

• COSINE (COS)

• TANGENT (TAN)

N A RIGHT-ANGLED TRIANGLE, ONE ANGLE IS ________

• 90 DEGREES

• 180 DEGREES

• 60 DEGREES

• 45 DEGREES

THE HYPOTENUSE IS THE LONGEST SIDE AND IS ________ OF THE RIGHT ANGLE.

• OPPOSITE

• BELOW

• BESIDE

• TO THE LEFT OF

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 11.7

• 10.8

• 13.0

• 14.2

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x? (HINT: Remember tangent lines and circles create right triangles)


We can use SOH-CAH-TOA for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w