# Pythagorean Theorem Properties of Special Right Triangles

## Presentation on theme: "Pythagorean Theorem Properties of Special Right Triangles"— Presentation transcript:

Pythagorean Theorem Properties of Special Right Triangles

What is the Pythagorean Theorem used for?
to find the length of a missing side in a right triangle n 5 4

Pythagorean Theorem Formula a and b represent the legs
a2 + b2= c2 c represents the hypotenuse a and b represent the legs

Always opposite of the 90 degree angle
Where is it located??? c Leg a Hypotenuse Always opposite of the 90 degree angle b Leg

Remember!!! The Pythagorean Theorem can ONLY be used on Right Triangles. The Legs are ALWAYS the sides ADJACENT (next to) the 90 degree angle. C is ALWAYS the Hypotenuse (the slant). The Hypotenuse is ALWAYS opposite the 90 degree angle.

What is the length of the hypotenuse in the triangle below?
a2 + b2= c2 2 4 h

Plug in the value for each variable in the formula.
a2 + b2= c2 = h2 2 4 h

What is the length of the hypotenuse in the triangle below?
2 4 h a2 + b2 = c2 = h2 = h2 20 = h2

What is the length of the hypotenuse in the triangle below?
a2 + b2 = c2 2 4 h = h2 = h2 20 = h2 = h 20 = h 2 5

Try this one . . . Find the hypotenuse of the right triangle below? 4
6 h

Find the hypotenuse of the right triangle below?
a2 + b2 = c2 = h2 = h2 52 = h2 52 = h 7.21 = h = h2 = h2 52 = h2 52 = h 7.21 = h 4 6 h

Try this one . . . What is the length of the missing leg in the triangle below? 5 3 a2 + b2 = c2 x

Find the hypotenuse of the right triangle below?
a2 + b2 = c2 32 + x2 = 52 5 3 9 + x2 = 25 x x2 = 16 x = 16 x = 4

Similar presentations