SOHCAHTOA

SOH-CAH-TOA

And an intro to right triangles...

Naming the Sides

• Hypotenuse: Across from the right angle

• Theta: Angle given or looking for

• Opposite: Side opposite of theta

• Adjacent: Side next to theta

Multiple Choice

Identify the hypotenuse

• a
• b
• c

Multiple Choice

Identify leg adjacent to <B

• a
• b
• c

Multiple Choice

Identify leg opposite <B

• a
• b
• c

Multiple Choice

Length of side opposite <X

• 21
• 29
• 20

Multiple Choice

Length of leg adjacent to <Z

• 40
• 9
• 41

Multiple Choice

Length of Hypotenuse

• 30
• 40
• 50

Try taking the ratio of these!

For example...

Multiple Choice

Ratio of:
Leg opposite <C / Leg adjacent <C

• 7/24
• 24/7
• 24/25
• 7/25

Multiple Choice

Ratio of:
Leg adjacent to <A / Hypotenuse

• 7/25
• 7/24
• 24/7
• 24/25

Multiple Choice

Ratio of:
Side opposite <A / Hypotenuse

• 7/25
• 24/25
• 7/24
• 24/7

We can use these ratios to find missing side lengths

• Calculator in degree mode

• Set up ratio- solve for side

A ladder is leaned at a safe angle of 75° against the side of a house. If the ladder is 22 feet long....