All Basic Geometry Resources Show What is the length of the remaining side of the right triangle? Correct answer: Explanation: Rearrange the Pythagorean Theorem to find the missing side. The Pythagorean Theorem is: where is the hypotenuse and and are the sides. The hypotenuse of a right triangle is 26 in and one leg is 10 in. What is the sum of the two shortest sides? Correct answer: Explanation: We use the Pythagorean Theorem so the problem to solve becomes where = unknown leg length So and The sum of the two legs becomes Find the length of the unknown side, , of the right triangle below. Correct answer: Explanation: We need to use the Pythagorean Theorem, which says that . Since we need to find the length of 'a', we can just solve for 'a'. In our case, c = 12 and b = 9. Thus, . Find the missing leg of the right triangle when one of the legs is and the hypotenuse is . Correct answer: Explanation: In order to find the missing side of a right triangle you must use one of two things: 1. Pythagorean Theorem 2. Trigonometry. Since we only know what the side lengths are we must use the Pythagorean Theorem. a=4, b=x, and c=5 So the missing side length is 3 Given that the hypotenuse of a right triangle is and one side is , find the other side length. Correct answer: Explanation: To find the length of the missing side, you can either use the pythagorean theorm or realize this is a case of a special right triangle with sides . Thus, the other side length is . Find the length of the missing side. Correct answer: Explanation: Recall the Pythagorean Theorem for a right triangle: Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for . Now, plug in values of and into a calculator to find the length of side . Round to decimal places. Find the length of the missing side. Correct answer: Explanation: Recall the Pythagorean Theorem for a right triangle: Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for . Now, plug in values of and into a calculator to find the length of side . Round to decimal places. Find the length of the missing side. Correct answer: Explanation: Recall the Pythagorean Theorem for a right triangle: Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for . Now, plug in values of and into a calculator to find the length of side . Round to decimal places. Find the length of the missing side length. Correct answer: Explanation: Recall the Pythagorean Theorem for a right triangle: Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for . Now, plug in values of and into a calculator to find the length of side . Round to decimal places. All Basic Geometry ResourcesHow do you find the missing X of a triangle?How to find the sides of a right triangle. if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²). if leg b is unknown, then. b = √(c² - a²). for hypotenuse c missing, the formula is. c = √(a² + b²). |