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Pythagorean Theorem and Applications

Pythagorean Theorem and Applications

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 8.EE.A.2, 2.MD.A.3

+1

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.8.G.B.8
,
CCSS.8.EE.A.2
,
CCSS.2.MD.A.3
CCSS.HSG.GMD.A.3
,
This video tutorial covers two application problems that can be solved using the Pythagorean Theorem. The first problem involves calculating the length of a ramp for a porch, while the second problem involves finding the hypotenuse of a sailboat's sail. The video provides a step-by-step guide on how to apply the Pythagorean Theorem to these real-world scenarios, including substituting values, simplifying equations, and calculating square roots. The tutorial concludes with a summary of the key points discussed.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the Pythagorean Theorem?

a + b = c^2

a^2 + b^2 = c

a^2 - b^2 = c^2

a^2 + b^2 = c^2

Tags

CCSS.2.MD.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first problem, what is the height of the porch from the ground?

5 feet

15 feet

3 feet

12 feet

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How far must the ramp start from the base of the porch in the first problem?

8 feet

12 feet

15 feet

10 feet

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate length of the ramp calculated in the first problem?

13.5 feet

14.2 feet

12.4 feet

11.3 feet

Tags

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second problem, what is the height of the sail?

12 feet

15 feet

10 feet

8 feet

Tags

CCSS.8.G.B.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the bottom edge of the sail in the second problem?

12 feet

8 feet

15 feet

10 feet

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the hypotenuse of the sail calculated in the second problem?

17 feet

15 feet

18 feet

16 feet

Tags

CCSS.8.EE.A.2

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