2nd hour

2nd hour

Use a calculator to find each value. Round to the nearest hundredth.

1. 2. 3. 4.

5.483.747.426.93

Before the Bell:3.8A

Check your answers to 3.7

Today’s learning Target:

3.8A

I can use the Pythagorean Theorem to find the hypotenuse of a right triangle.

I can use the converse of the Pythagorean Theorem to determine if given sides make a right triangle.

Vocabulary3.8A

Right TriangleRight Triangle- has one right angleA

C Ba

b

c

Leg

LegHypotenuse - has 2 legs

- has 1 hypotenuse

Pythagorean Theorem:

Vocabulary3.8A

If a triangle is a right triangle, then a2 + b2 = c2

Converse of Pythagorean Theorem:

If a2 + b2 = c2

then, it is a right triangle

45

c

6.40 c

Pythagorean TheoremSubstitute for a and b.

a2 + b2 = c2

42 + 52 = c2

16 + 25 = c2

41 = c

Simplify powers. Solve for c; c = c2.

Find the length of the hypotenuse to the nearest hundredth.

41 = c2

3.8A

5

7

c

8.60 c

Pythagorean TheoremSubstitute for a and b.

a2 + b2 = c2

52 + 72 = c2

25 + 49 = c2

74 = cSimplify powers. Solve for c; c = c2.

Find the length of the hypotenuse to the nearest hundredth.

3.8A

triangle with coordinates (–2, –2), (–2, 4), and (3, –2)

x

y

The points form a right triangle.

(–2, –2)

(–2, 4)

(3, –2)

7.81 c

Pythagorean Theorema2 + b2 = c2

62 + 52 = c2

36 + 25 = c2

61 = cSimplify powers. Solve for c; c = c2.

Substitute for a and b.

Find the length of the hypotenuse to the nearest hundredth.

3.8A

Three sides of a triangle are given. Determineif each is a right triangle.

a) 3, 4, 5 b) 7, 8, 12

Identify the length of side c to the nearest meter.

A. 9 m

B. 10 m

C. 11 m

D. 12 m

Did you master today’s learning target?

3.8A

Assignment:

Section 3.8APage 134,

1-3, 9-11, 17, 19, 24, 31

3.8A

Answers to yesterday’s review:

29. 5, -530. 7, -731. 17, -1732. 13, -1333. 434. 2135. 1236. 537. 41 ft. x 41 ft.

38. Between 5,639. Between 7,840. Between 9,1041. Between -11, -1242. 14.2143. 13.5644. 21.4945. 17.8646. 38.2 x 38.2

47. irrational, real48. rational, real49. natural, wholeInteger, rational,real50. integer, rational, real51. Rational52. Not real53. Irrational54. Not real55. 5 3/1656. 4 ½57. 3 11/14