CONVERSE OF PYTHAGOREAN THEOREM WORKSHEET

Classify the triangle as acute, right, or obtuse, explain.

Problem 1 :

converse-of-pythagorean-theorem-q1

Solution

Problem 2 :

converse-of-pythagorean-theorem-q2.png

Solution

Problem 3 :

converse-of-pythagorean-theorem-q3.png

Solution

Use the side lengths to classify the triangle as acute, right, or obtuse.

Problem 4 :

7, 24, 24

Solution

Problem 5 :

7, 24, 25

Solution

Problem 5 :

7, 24, 26

Solution

Determine whether the triangle is acute, right, or obtuse.

Problem 7 :

converse-of-pythagorean-theorem-q4.png

Solution

Problem 8 :

converse-of-pythagorean-theorem-q5.png

Solution

Problem 9 :

converse-of-pythagorean-theorem-q6.png

Solution

Problem 10 :

Match the side lengths of a triangle with the best description.

1) 2, 10, 11

2) 8, 5, 7

3) 5, 5, 5

4) 6, 8, 10

A. right

B. acute

C. obtuse

D. equiangular

Solution

Answer Key

1)  obtuse.

2)  the triangle is right triangle

3)  Acute

4)  Acute 

5)  Right triangle 

6)  Obtuse

7)  

1) 2, 10, 11

2) 8, 5, 7

3) 5, 5, 5

4) 6, 8, 10

C. obtuse

B. acute

D. equiangular

A. right

8)  Acute

9) Obtuse

10) Right

11)  1)  It is obtuse triangle      2)  It is acute triangle

3)  It is equiangular triangle     4)  It is right triangle  

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