What does it mean to simplify a radical expression?

To simplify a radical expression means to express it in its simplest form, removing any perfect square factors from under the radical.

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

The area of a right triangle can be found using the formula: Area = $$\frac{1}{2} \times base \times height$$ .

What is a right triangle?

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

What is the converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem states that if in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

If a triangle has sides of lengths 9, 13, and 15, how would you classify it?

It is an acute triangle because $$9^2 + 13^2 > 15^2$$ .

What is the significance of the hypotenuse in the Pythagorean Theorem?

The hypotenuse is crucial in the Pythagorean Theorem as it is the side that is squared and compared to the sum of the squares of the other two sides.

What is the relationship between the angles in an acute triangle?

In an acute triangle, all three angles are less than 90 degrees.

Pythagorean Theorem and Its Converse Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

How can you determine if a triangle is acute using side lengths?

Back

3.

FLASHCARD QUESTION

Front

How can you determine if a triangle is obtuse using side lengths?

Back

4.

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, and is represented by the letter 'c'.

5.

FLASHCARD QUESTION

Front

Back

It is a right triangle.

6.

FLASHCARD QUESTION

Front

What is the relationship between the sides of an acute triangle?

Back

7.

FLASHCARD QUESTION

Front

What is the relationship between the sides of an obtuse triangle?

Back

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