What is the length of the slide if it forms a right triangle with a height of 6 feet and a base of 8 feet?

Using the Pythagorean theorem: $$c^2 = 6^2 + 8^2 = 36 + 64 = 100$$ , so $$c = 10$$ feet.

What is the value of $$x$$ in the equation $$x^2 + 11 = 20$$ ?

To solve for $$x$$ , subtract 11 from both sides: $$x^2 = 9$$ , thus $$x = 3$$ or $$x = -3$$ .

What is the definition of a right triangle?

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

If the lengths of the two legs of a right triangle are 7 and 24, what is the length of the hypotenuse?

Using the Pythagorean theorem: $$c^2 = 7^2 + 24^2 = 49 + 576 = 625$$ , so $$c = 25$$ .

What is the formula for the area of a right triangle?

The area (A) of a right triangle can be calculated using the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the length of a leg in a right triangle if the hypotenuse is 15 and the other leg is 9?

Using the Pythagorean theorem: $$9^2 + b^2 = 15^2$$ , so $$81 + b^2 = 225$$ , thus $$b^2 = 144$$ , and $$b = 12$$ .

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

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

Unit 7.1 Exit Ticket Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

In a right triangle, if the lengths of the two legs are equal, what is the relationship between the legs and the hypotenuse?

Back

5.

FLASHCARD QUESTION

Front

What is the height of a right triangle if the base is 8 feet and the hypotenuse is 10 feet?

Back

6.

FLASHCARD QUESTION

Front

If a right triangle has a hypotenuse of 13 and one leg of 5, what is the length of the other leg?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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