# Pythagorean Theorem & the Converse - PowerPoint PPT Presentation

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Pythagorean Theorem & the Converse . WU : SOL questions- graded for accuracy! *hw/hw log/storybook “ Right Triangles” . HW (day 39 ) : p. 495 (5-25odd, 31, 32, 36, 37, 41 ) Quiz next block ( pythagorean thm ) Midterm Exa ms: 1/22-1/24 pearsonsuccess.net (due Friday).

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Pythagorean Theorem & the Converse

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## Pythagorean Theorem & the Converse

WU: SOL questions- graded for accuracy!

*hw/hw log/storybook “ Right Triangles”

HW (day39):

p. 495 (5-25odd, 31, 32, 36, 37, 41)

Quiz next block (pythagoreanthm)

Midterm Exams: 1/22-1/24

pearsonsuccess.net (due Friday)

Copy into your SOL binder (day 39)

### Pythagorean Theorem

In a right triangle the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.

c2 a2 + b2

a2 + b2 >c2

a2 + b2 <c2

c

Hypotenuse

a

Leg

b

Leg

### Converse of the Pythagorean theorem

If the sum of the square of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.

If c2 = a2 + b2 ∆ABC is a right triangle.

If c2 > a2 + b2 ∆ABC is a obtuse triangle.

If c2 < a2 + b2 ∆ABC is a acute triangle

B

c

a

A

b

C

Randy made a ramp for his dog to get into his truck. The ramp is 6 ft long and the bed of the truck is 3ft above the ground. Approximately how far from the back of the truck does the ramp touch the ground?

### Is it a triangle? If so determine if the triangle is Right, Acute, or Obtuse

Right: c2 = a2 + b2Acute: c2 < a2 + b2Obtuse: c2 > a2 + b2

Let’s Practice:

1) a=14, b=5, c= 202) a= 2, b=5, c=2

• a=12, b=16, c=204) a=11, b=12, c=14

5) S(3, 3), T(5, 5) U(6, 0)6) S(2, -1), T(5, 4), U(6, -3)