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L 21: Pythagorean Theorem Converse

Last updated over 5 years ago

4 questions

1

1

1

1

Question 1

1.

Determine whether these lengths will create a right triangle, obtuse triangle, or acute triangle. 10 cm, 8 cm, and 6 cm.

Obtuse Triangle

Right Triangle

Square

Acute Triangle

Question 2

2.

If you have a hypotenuse that measures 13 inches, what do the side lengths need to be to create a right triangle?

12 inches and 5 inches

12 inches and 10 inches

6 inches and 5 inches

13 inches and 1 inch

Question 3

3.

Which of the following hypotenuse length will create an acute triangle, if the side lengths are 6 cm and 8 cm?

11 cm

10.5 cm

10 cm

9 cm

Question 4

4.

Jonathan claims that a triangle that has the side lengths of 3 cm and 4 cm and hypotenuse of
5 cm is an acute triangle because 3+4 is greater than 5. Where did Jonathan make his error?

He needs to square root the leg sides and then compare it to the hypotenuse

He needs to subtract the legs

He made no error, he is correct that it is an acute triangle because 4+3 > 5

He needs to square the legs and hypotenuse before he compares them