Triangle Measurements and Pythagorean Theorem

Triangle Measurements and Pythagorean Theorem

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find missing side lengths in a right triangle using given side lengths and a perpendicular. It involves labeling segments, assuming complementary angles, setting up proportions, and solving a quadratic equation. The tutorial also demonstrates using Pythagorean triplets to verify the results.

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of side 'a' in triangle ABC?

60 units

169 units

144 units

25 units

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the perpendicular CD?

25 units

144 units

169 units

60 units

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the complementary angles in the problem?

Alpha and Gamma

Alpha and Beta

Theta and Beta

Beta and Gamma

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to establish the similarity between triangles ACD and BCD?

Pythagorean Theorem

Angle-Angle Similarity Theorem

Side-Side-Side Theorem

Side-Angle-Side Theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation formed by the sum of segments a and b?

a + b = 60

a + b = 169

a + b = 144

a + b = 25

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of segments a and b?

144

169

3600

60

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the quadratic equation formed to solve for a and b?

x² + 144x - 3600 = 0

x² - 144x + 3600 = 0

x² - 169x + 3600 = 0

x² + 169x - 3600 = 0

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