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 3 missing sides of a triangle?Different Ways to Find the Third Side of a Triangle
For a right triangle, use the Pythagorean Theorem. For an isosceles triangle, use the area formula for an isosceles. If you know some of the angles and other side lengths, use the law of cosines or the law of sines.
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