Enrichment on Pythagorean Theorem

What is the length of the hypotenuse in a right triangle with legs of 3 and 4 units?

• 6

• 7

• 8

• 5

Tags

CCSS.8.G.B.7

Identify whether the triangle with sides 5, 12, and 13 is a right triangle.

• No, it is an obtuse triangle.

• Yes, it is a right triangle.

• Yes, it is an equilateral triangle.

• No, it is a scalene triangle.

Tags

CCSS.8.G.B.8

Using the Pythagorean theorem, find the length of the missing side if one leg is 6 and the hypotenuse is 10.

• 4

• 12

• 14

• 8

Tags

CCSS.8.G.B.7

A right triangle has one leg measuring 8 units and a hypotenuse of 10 units. What is the length of the other leg?

• 12 units

• 6 units

• 8 units

• 4 units

Tags

CCSS.8.G.B.7

In a word problem, a ladder leans against a wall forming a right triangle with the ground. If the ladder is 15 feet long and the base is 9 feet from the wall, how high does the ladder reach?

• 14 feet

• 12 feet

• 10 feet

• 8 feet

Tags

CCSS.8.G.B.8

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

• It is an isosceles triangle

• It could be an obtuse triangle

• Yes

• No

Tags

CCSS.8.G.B.8

Solve for the missing side of a right triangle where one leg is 9 and the hypotenuse is 15.

• 16

• 14

• 10

• 12

Tags

CCSS.8.G.B.7

A right triangle has legs measuring 5 and 12. What is the length of the hypotenuse?

• 15

• 10

• 17

• 13

Tags

CCSS.8.G.B.7

In a composite figure, if a right triangle has legs of 6 and 8, what is the area of the triangle?

• 48

• 12

• 30

• 24

Tags

CCSS.6.G.A.1

Using the converse of the Pythagorean theorem, determine if the triangle with sides 9, 12, and 15 is a right triangle.

• No, it is not a right triangle.

• The sides do not form a triangle.

• It could be a right triangle depending on the angles.

• Yes, it is a right triangle.

Tags

CCSS.8.G.B.8