![]() The Pythagorean theorem isn't just for math class it's like a puzzle-solving tool that architects, engineers, and even treasure hunters use. So, in our awesome triangle adventure, Charlie, the hypotenuse is five units long. Charlie's got some severe superhero vibes! It's a party, and the dance floor is lit!įinally, we need to know how long Charlie is, so we take the square root of 25: √25 = 5. Now, we add Alex's square and Bella's square: 9 + 16 = 25. Bella's got some smooth square moves too! Our goal? Figure out how long Charlie is. Imagine Alex is 3 units long and Bella is 4 units long. So, when we say "Alex squared plus Bella squared equals Charlie squared," we're saying "Alex times Alex plus Bella times Bella equals Charlie times Charlie." It's like a math party with letters dancing around! ![]() When we say "Alex squared," it's like saying "Alex times Alex." Same goes for "Bella squared" and "Charlie squared." Charlie's like, "I'm the cool slanty side over here!" Imagine they're talking to each other, going "Hey, I'm Alex!" and "Hi, I'm Bella!" Cute, right? "Alex" is one of the leg's lengths, and "Bella" is the other leg's length. It's written as "Alex squared plus Bella squared equals Charlie squared." Math wizards use letters to stand in for numbers, so "squared" just means you multiply a number by itself. Now, the Pythagorean theorem is like a fancy spell that connects Alex, Bella, and Charlie. Alex and Bella are the sides that stick around the right angle, and Charlie is the longest side that stretches across like a superhero cape. Let's meet our triangle heroes: the legs (let's call them Alex and Bella) and the hypotenuse (let's call it Charlie). And guess what? The Pythagorean theorem is like the secret map that helps you unravel the mystery of their sides. What's a right triangle, you ask? It's like a ninja triangle that has one angle that's super square – like the corners of your favorite chocolate bar. So, picture this: you're on a quest to uncover the secrets of right triangles. The perimeter is 52 inches.Alright, buckle up, because we're diving into the wonderful world of the Pythagorean theorem! Don't worry, I'm going to make it as fun and exciting as a roller coaster ride. The width of a rectangle is 8 inches more than the length.The length of a rectangle is 9 inches more than the width.The area of a rectangle is 782 square centimeters.The area of a rectangle is 414 square meters.Find the width of a rectangle with perimeter 16.2 meters and length 3.2 meters.Find the width of a rectangle with perimeter 92 meters and length 19 meters.Find the length of a rectangle with perimeter 20.2 yards and width of 7.8 yards.Find the length of a rectangle with perimeter 124 inches and width 38 inches.A driveway is in the shape of a rectangle 20 feet wide by 35 feet long.A rectangular room is 15 feet wide by 14 feet long.The length of a rectangle is 26 inches and the width is 58 inches.The length of a rectangle is 85 feet and the width is 45 feet.In the following exercises, find the (a) perimeter and (b) area of each rectangle. The area of the trapezoid is 75 square inches. So it makes sense that the area of the trapezoid is between 84 and 66 square inches Step 7. The area of the larger rectangle is 84 square inches and the area of the smaller rectangle is 66 square inches. ![]() If we draw a rectangle inside the trapezoid that has the same little base b and a height h, its area should be smaller than that of the trapezoid. If we draw a rectangle around the trapezoid that has the same big base B and a height h, its area should be greater than that of the trapezoid.
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