What is the exact length of the hypotenuse? Is this a Pythagorean triple?
What is the exact length of side b? Is this a Pythagorean triple?
You see your friend solve a Pythagorean triangle with leg lengths of 7 and 24 like this:[br][math]c^2=a^2+b^2[/math][br][math]c^2=7^2+24^2[/math][br][math]c^2=\left(7+24\right)^2[/math][br][math]c^2=31^2[/math][br][math]c=31[/math][br]
Find and explain any mistake(s). Find the correct exact length for the hypotenuse.
The side lengths of a triangle are 10, 11, and 14. Classify the triangle.
The side lengths of a triangle are 12, 16, and 20. Classify the triangle.
What are the exact height and area of the triangle?
Your friend claims 72 and 75 cannot be part of a Pythagorean triple because [math]72^2+75^2[/math] does not equal a positive integer squared. Is your friend correct? Explain.
You have a step ladder. There's about a foot between each rung. When it's folded up it's 16 feet long. when it's open the feet are 8 feet apart. If you can't use the top rung or the top platform, what is the maximum height you can gain from using the ladder. Round your answer to the nearest whole number.
In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on first base tries to steal second base. How far does the ball need to travel from home plate to second base to get the player out? Round your answer to the nearest tenth.
You are making a kite and need to figure out how much binding to buy. You need the binding for the perimeter of the kite. The binding comes in packages of two yards. How many packages should you buy?