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Pythagorean Theorem - find the hypotenuse

Pythagorean Theorem - find the hypotenuse

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 8.G.B.7, HSG.CO.C.10

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). This can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

In a right triangle, which side is the hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

3.

FLASHCARD QUESTION

Front

If one side of a right triangle is 3 feet and the other side is 4 feet, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25. Therefore, c = √25 = 5 feet.

Tags

CCSS.8.G.B.7

4.

FLASHCARD QUESTION

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

The formula to find the length of the hypotenuse (c) is c = √(a² + b²), where a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

To determine if a triangle is a right triangle, check if the lengths of the sides satisfy the Pythagorean Theorem: a² + b² = c². If this equation holds true, the triangle is a right triangle.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What are the values of a and b in the equation 5² + 12² = c²?

Back

In the equation 5² + 12² = c², a = 5 and b = 12.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The side opposite the 30-degree angle is the shortest, the side opposite the 60-degree angle is √3 times the shortest side, and the hypotenuse is twice the shortest side.

Tags

CCSS.HSG.CO.C.10

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