Pythagorean Theorem and Its Converse

● Can only use in a

RIGHT triangle

Multiple Choice

What type of triangle can you use the Pythagorean Theorem?

• A small one

• Any Triangle

• A Right Triangle

• An Isosceles

● A and b are legs

of the triangle

● C is ALWAYS the

hypotenuse

Fill in the Blank

The _______ is always across from the 90 degree angle.

Draw

Circle the number that is the hypotenuse.

Multiple Choice

Which equation is set up properly to use the pythagorean theorem with this picture?

• $$15^2+x^2=18^2$$  

• $$15^2+18^2=x^2$$  

• $$18^2+x^2=15^2$$  

Multiple Choice

What is the length of the missing side?

•  21.4

•  Does not show

•  23.4

Multiple Choice

What is the correct formula for the picture.

• $$9^2+14^2=x^2$$  

• $$x^2+14^2=9^2$$  

• $$9^2+x^2=14^2$$  

Multiple Choice

What is the solution to x?

•  10.7

• 16.6

•  114.5

Draw

Write the lengths of the sides of the triangle for the following scenario. You do not need to solve!

Jimmy put a the base of a ladder 5 feet from the base of a wall that is 13 feet tall. How long is the ladder?

Multiple Choice

What type of triangle do these 3 lengths make?

12, 15, 7

• Acute

• Obtuse

• Right