What is the relationship between the sides of a right triangle?

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Can the Pythagorean Theorem be used for obtuse triangles?

No, the Pythagorean Theorem only applies to right triangles.

What is the value of c if a = 6 and b = 8?

Using the Pythagorean Theorem: $$6^2 + 8^2 = c^2$$ , so $$c = \text{sqrt}(36 + 64) = \text{sqrt}(100) = 10$$ .

If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$5^2 + 12^2 = c^2$$ , so $$c = \text{sqrt}(25 + 144) = \text{sqrt}(169) = 13$$ .

What is the Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c, such that $$a^2 + b^2 = c^2$$ . An example is (3, 4, 5).

What is the significance of the right angle in the Pythagorean Theorem?

The right angle is crucial because the Pythagorean Theorem only holds true in right triangles.

If the hypotenuse is 13 and one leg is 5, what is the other leg?

Using the Pythagorean Theorem: $$5^2 + b^2 = 13^2$$ , so $$b = \text{sqrt}(169 - 25) = \text{sqrt}(144) = 12$$ .

What is the formula to find the area of a right triangle?

The area of a right triangle is given by the formula: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

Flashcard

•

Mathematics

•

7th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.B.8, 8.G.B.7, 6.G.A.1

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

What is the hypotenuse in a right triangle?

Back

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

FLASHCARD QUESTION

Front

If one leg of a right triangle is 4 and the other leg is 10, what is the hypotenuse?

Back

Tags

CCSS.8.G.B.7

FLASHCARD QUESTION

Front

What is the formula to find the missing side of a right triangle?

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

What is a leg in a right triangle?

Back

A leg is one of the two shorter sides of a right triangle that form the right angle.

FLASHCARD QUESTION

Front

If the hypotenuse is 17 and one leg is 8, what is the other leg?

Back

Tags

CCSS.8.G.B.7

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