Elementary Algebra Q12 | Pierce College math assessment sample MDTP

TL;DR

Use the Pythagorean theorem to find the length of a side in a right triangle.

Transcript

for number 12 we are keeping this red triangle triangle ABC and we know that the length of a B is equal to 9 the length of bc is equal to 5 and our goes to find out the length of AC namely decent no side here we are talking about the side of a right triangle therefore we have to use the path that you 10 and let's do a quick review first as you can ... Read More

Key Insights

• 🗯️ The Pythagorean theorem is a fundamental concept in geometry and is used to solve problems related to right triangles.
• 🙃 By labeling the sides of a right triangle and using the Pythagorean theorem, you can find the length of a side.
• 🤩 The hypotenuse, which is the longest side in a right triangle, plays a key role in the Pythagorean theorem.
• 🙃 The Pythagorean theorem is based on the relationship between the lengths of the sides of a right triangle.
• 🗯️ The Pythagorean theorem can be applied to various real-world situations involving right triangles.
• 🫚 Simplifying square roots can help in finding the exact length of a side using the Pythagorean theorem.
• 🔨 The Pythagorean theorem is a powerful tool that can be used to solve complex geometrical problems.

Questions & Answers

Q: What is the Pythagorean theorem used for?

The Pythagorean theorem is used to find the length of a side in a right triangle.

Q: How do you identify the hypotenuse in a right triangle?

The hypotenuse is the longest side in a right triangle.

Q: What is the relationship between the lengths of the shorter sides and the hypotenuse in a right triangle?

According to the Pythagorean theorem, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.

Q: How can you solve for the length of a side using the Pythagorean theorem?

To solve for the length of a side, you need to know the lengths of the other two sides and then use the formula a^2 + b^2 = c^2.

Summary & Key Takeaways

• The Pythagorean theorem can be used to find the length of a side in a right triangle.

• In a right triangle, the longest side is called the hypotenuse.

• The Pythagorean theorem states that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.