If in a right triangle, the longest leg is 7 feet longer than the shortest leg and the hypotenuse is 1 foot longer than twice the length of the shortest leg, what is the length of the hypotenuse?
How do you draw a picture of a triangle with dimensions from a word problem?
If a right triangle has legs x and x + 7, and the hypotenuse is 2x + 1, what does x equal?
How can you use the Pythagorean Theorem to solve a right triangle if each side has a variable in it?
How do you solve (2x + 1)^2 = x^2 + (x + 7)^2?
How do you solve 2x^2 - 10x - 48 = 0?
How do you solve x^2 - 5x - 24 = 0?
Why does x = -3 not work as a solution to a quadratic equation in a triangle word problem with side lengths x, x + 7, and 2x + 1?
How do you check your solution to a triangle word problem?
Staff Review
Currently 4.0/5 Stars.
This is a great application problem for the Pythagorean Theorem. Each side is a variable expression and you must solve a quadratic equation to solve for x in order to obtain the side lengths.