Carlos went to buy a television the same size as his friend’s. When he got to the store, he found that televisions are measured along the diagonal. Which equation will help him find the size he wants?
2 triangles are connected at their hypotenuse to form a rectangle. The rectangle has a length of 35 inches and width of 20 inches.
20 squared + 35 squared = d squared
d squared + 20 squared = 35 squared
d squared + 35 squared = 20 squared
35 squared minus 20 squared = d squared
d squared = 20 squared + 35 squared
Which is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 12 feet and side C B is 35 feet.
StartRoot 94 EndRoot ft
StartRoot 214 EndRoot ft
33 ft
37 ft
The length of the hypotenuse of the triangle is StartRoot 214 EndRoot ft.
The correct equation that will help Carlos find the size of the television he wants is:
d squared = 20 squared + 35 squared
Here, "d squared" represents the size of the television he wants, and 20 and 35 represent the length and width of the rectangle, respectively. The equation is obtained by using the Pythagorean theorem, which states that the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse.