Right Triangles - Pythagorean Theorem & SOH CAH TOA

Front

What is the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse of a right triangle.

Front

What does SOH CAH TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How do you find the length of the hypotenuse using the Pythagorean Theorem?

Back

c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

What is the sine of an angle in a right triangle?

Back

Sine = Opposite side / Hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

Cosine = Adjacent side / Hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

Tangent = Opposite side / Adjacent side.

Front

When can you use SOH CAH TOA?

Back

You can use SOH CAH TOA for right triangles only.

Front

If one angle in a right triangle is 30 degrees, what is the sine of that angle?

Back

sin(30) = 1/2.

Front

If one angle in a right triangle is 60 degrees, what is the cosine of that angle?

Back

cos(60) = 1/2.