# Is the following shape a rectangle? Use the Pythagorean theorem to show it is or isn’t. - PowerPoint PPT Presentation

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Objective – I can show mastery on the triangle standards (Re-write standards in NB) Today – Unit 6 Quiz Review Review Block 1 Unit 6 Test Block 2. Is the following shape a rectangle? Use the Pythagorean theorem to show it is or isn’t. W = 12 ft. diagonal=20 ft. L=16 ft.

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Is the following shape a rectangle? Use the Pythagorean theorem to show it is or isn’t.

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#### Presentation Transcript

Objective – I can show mastery on the triangle standards (Re-write standards in NB)Today– Unit 6 Quiz ReviewReview Block 1Unit 6 Test Block 2

W = 12 ft

diagonal=20 ft

L=16 ft

### Find the length from A to B.

First solve this Triangle:

A

x

6

8

10

Use what you found for x to solve the next triangle.

6

8

B

### The perimeter of a square is 28 inches. Find the length of the diagonal. Leave your answer in simplest radical form. DRAW A PICTURE FIRST!

7

Now you can use the Pythagorean theorem OR 45-45-90 triangle formulas.

7

7

7

### Findthe height of an equilateral triangle with a base of 50 cm. Leave your answer in simplest radical form. DRAW A PICTURE FIRST!

Now you can use the Pythagorean theorem OR 30-60-90 triangle formulas.

50

25

50

B

16

16

C

A

10

16

B

A

45

30

A

Sin A =

SOH

8

hyp

B

C

6

opp

A

Tan B =

10

TOA

8

opp

B

C

6

12 in

CAH

θ

17 in

hyp

### Find the length of h and the mC

B

12

8

h

C

20

A

A tree gets hit by lightning and breaks 10ft from the ground. The top of the tree falls to the ground and forms an angle of elevation to the stump of 22°. How tall was the tree originally? (Hint: Draw a picture.) Round to the nearest tenth.