What is the hypotenuse of a right triangle with legs measuring 6 units and 8 units?

Using the Pythagorean Theorem: $$6^2 + 8^2 = c^2$$ , we find that $$c = 10$$ .

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

The formula to find the missing side of a right triangle is: $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

Which of the following sets of lengths can form a right triangle: 5, 12, 13 or 7, 24, 25?

Both sets can form right triangles as they satisfy the Pythagorean Theorem: $$5^2 + 12^2 = 13^2$$ and $$7^2 + 24^2 = 25^2$$ .

What is the significance of the Pythagorean Theorem in real life?

The Pythagorean Theorem is used in various real-life applications such as construction, navigation, and computer graphics to calculate distances and angles.

How can you find the length of a side if you know the hypotenuse and one leg?

You can find the length of the missing leg using the formula: $$b = \\sqrt{c^2 - a^2}$$ , where c is the hypotenuse and a is the known leg.

What is the converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem states that if a triangle has side lengths a, b, and c such that $$a^2 + b^2 = c^2$$ , then the triangle is a right triangle.

If the lengths of the sides of a triangle are 9, 40, and 41, what type of triangle is it?

It is a right triangle because it satisfies the Pythagorean Theorem: $$9^2 + 40^2 = 41^2$$ .

What is the area of a right triangle with legs measuring 5 units and 12 units?

The area of a right triangle is given by: $$Area = \\frac{1}{2} \\times base \\times height$$ . Thus, Area = $$\\frac{1}{2} \\times 5 \\times 12 = 30$$ .

Flashcard

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Mathematics

•

8th Grade

•

Practice Problem

•

Hard

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CCSS

8.G.B.8, 8.G.B.7, 4.G.A.2

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 is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

FLASHCARD QUESTION

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the legs (the two shorter sides) and the hypotenuse (the longest side opposite the right angle).

FLASHCARD QUESTION

Front

How do you determine if a set of lengths can form a right triangle?

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.7

FLASHCARD QUESTION

Front

What is the distance formula in coordinate geometry?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

Tags

CCSS.8.G.B.8

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