Question 4 The shortest leg of a triangle is 7 meters shorter than the other leg. The hypotenuse of this triangle is 17 meters. What are the lengths of the two legs of this triangle? The shortest leg is The other leg is Question Help: Video long. Submit Question

To solve this triangle problem, let's call the shorter leg "x". According to the information provided, the other leg would be "x + 7". Using the Pythagorean theorem, we can set up the equation: \( x^2 + (x + 7)^2 = 17^2 \). Expanding and simplifying this will lead you to find the value of x and subsequently the lengths of both legs! Now, for some helpful hints: when dealing with such problems, always remember to double-check your algebra! It’s easy to make a mistake when squaring terms or combining like terms. And don’t forget that the hypotenuse is always the longest side, so make sure your lengths make sense relative to each other for a triangle. Onward to calculating those leg lengths!