Classify Triangles Using Distance and Pythagorean Theorem

A 50 foot ladder leans up against a 60 foot building to rescue a woman stuck in a third floor apartment. If the base of the ladder is placed 35 feet from the base of the building, find the height h of the 3rd floor window from the ground

• 10.0

• 24.3

• 35.7

• 45.6

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

Find a.

• 12

• 24

• 6

Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

• acute

• right

• obtuse

If a² + b² = c², what type of triangle is the triangle?

• Right

• Obtuse

• Acute

• Irregular

The Pythagorean Theorem, a² + b² = c², only works for what type of triangles?

• acute

• right

• obtuse

• equilateral

Find a.

• 9

Which set of side lengths does not form a right triangle?

• 38, 80, 90

• 16, 63, 65

• 36, 77, 85

• 14, 15, 29

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

What is the value of x?

• 2

• 18

• 2√9

• 9√2