If the base of a right triangle is 6 cm and the height is 8 cm, what is the area?

Using the area formula: $$Area = \\frac{1}{2} \\times 6 \\times 8 = 24 cm^2$$ .

What is the definition of the hypotenuse?

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

How do you determine if a triangle is a right triangle using side lengths?

To determine if a triangle is a right triangle, check if the lengths of the sides satisfy the Pythagorean theorem: $$a^2 + b^2 = c^2$$ .

What is the significance of the 90-degree angle in a right triangle?

The 90-degree angle in a right triangle indicates that the triangle can be analyzed using the Pythagorean theorem and trigonometric ratios.

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

Using the Pythagorean theorem: $$c = \\sqrt{5^2 + 12^2} = \\sqrt{25 + 144} = \\sqrt{169} = 13 cm$$ .

What is the formula for finding the length of a leg in a right triangle if the hypotenuse and one leg are known?

If the hypotenuse (c) and one leg (a) are known, the length of the other leg (b) can be found using: $$b = \\sqrt{c^2 - a^2}$$ .

What is the definition of a leg in a right triangle?

A leg in a right triangle refers to either of the two sides that form the right angle.

Missing Sides of Right Triangles Flashcards

Student preview

14 questions

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1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

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

2.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

3.

FLASHCARD QUESTION

Front

How do you find the length of a missing side in a right triangle?

Back

To find the length of a missing side in a right triangle, use the Pythagorean theorem. Rearrange the formula to solve for the unknown side.

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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