📐 Square Roots and Pythagorean Theorem

This quiz explores square roots, perfect squares, and real-world applications of the Pythagorean theorem for Grade 8 students. **What you'll learn:** - Evaluate and simplify square roots and perfect squares - Apply the Pythagorean theorem to find missing side lengths - Solve multi-step problems combining square roots and the theorem - Interpret and verify Pythagorean triples - Connect geometry to real-world contexts using right triangles

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Questions in this quiz

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Question 1
Which of the following is a perfect square?
Question 2
What is $\sqrt{144}$ ?
Question 3
$\sqrt{50}$ is approximately $7.1$ .
Question 4
A right triangle has legs of length $3$ cm and $4$ cm. What is the length of the hypotenuse?
Question 5
Which of the following sets of numbers forms a Pythagorean triple?
Question 6
If a right triangle has a hypotenuse of $10$ cm and one leg of $6$ cm, the other leg is ___ cm.
Question 7
A ladder leans against a wall. The base of the ladder is $2.4$ m from the wall, and the ladder is $2.6$ m long. How high up the wall does the ladder reach?
Question 8
Simplify $\sqrt{72}$ .
Question 9
A rectangular garden has dimensions $7$ m by $24$ m. A diagonal path crosses from one corner to the opposite corner. How long is the path, rounded to the nearest meter?
Question 10
Two ships leave a port at the same time. One travels $12$ km north and the other travels $16$ km east. How far apart are the ships?