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

The formula is $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

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

Yes, because $$7^2 + 24^2 = 25^2$$ (49 + 576 = 625).

What is the value of c if a = 9 and b = 12 in a right triangle?

Using the Pythagorean Theorem: $$c = \\sqrt{9^2 + 12^2} = \\sqrt{81 + 144} = \\sqrt{225} = 15$$ .

What happens if a triangle does not satisfy the Pythagorean Theorem?

If a triangle does not satisfy the Pythagorean Theorem, it is not a right triangle.

What is the significance of the right angle in a right triangle?

The right angle (90 degrees) is crucial as it defines the triangle as a right triangle and allows the use of the Pythagorean Theorem.

If a triangle has sides of lengths 10, 24, and 26, is it a right triangle?

Yes, because $$10^2 + 24^2 = 26^2$$ (100 + 576 = 676).

What is the hypotenuse in a right triangle with legs of lengths 5 and 12?

The hypotenuse is $$\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$$ .

Can the Pythagorean Theorem be used for non-right triangles?

No, the Pythagorean Theorem only applies to right triangles.

Flashcard

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Mathematics

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8th - 12th Grade

•

Practice Problem

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Hard

•

CCSS

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

Standards-aligned

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FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

What do we call the longest side of a right triangle?

Back

The longest side of a right triangle is called the hypotenuse.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.7

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

Is a triangle with sides 5, 12, and 13 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 a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

Back

Tags

CCSS.8.G.B.8

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