Pythagorean Theorem and Special Right Triangles

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

If the length of the hypotenuse in this triangle is 16, find the length of one leg.

• 8

• 32

If the length of the hypotenuse in this triangle is 7, find the length of the long side.

​

Find the lengths of the missing sides.

Considering the lengths of the sides of the triangle, what measure will < A have to be?

• 30

• 45

• 60

• 90

What is the shortest distance between 3rd and 1st?

• 60

• 60√2

• 30√2

• 120

What is the exact side length of a square that has a diagonal of 18?

• 9

• 18√2

• 9√2

• √2

What is the perimeter of the triangle?

• 16 + 8√2

• 8 + 8√2

• 24√2

• 24

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30. How wide is the t.v.?

• 30²  + 40² = c²

• a²  + 40² = 30²

• 30²  + b² = 40²

• 40²  + 30² = c²