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In order to calculate the length of the diagonal, we first must assume that the height is perpendicular to both the top and bottom of the trapezoid. Share on LinkedIn, opens a new window. MBA703 - Module 5 - Discussion. By the 30-60-90 Triangle Theorem, Opposite sides of a rectangle are congruent, so, and. Dis 1 classmate post (3). Find the length of the diagonal of the isosceles trapezoid given below. Original Title: Full description.
To find the length of the diagonal, we need to use the Pythagorean Theorem. Did you find this document useful? Is this content inappropriate? Answered step-by-step. Search inside document. Share this document. Part C Short essay question Consider your company is taking an innovation. Refer to the above diagram, which shows Trapezoid with diagonal. Crop a question and search for answer. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. Figure NOT drawn to scale. Mktg 3007- final role play STEP. Example Question #8: How To Find The Length Of The Diagonal Of A Trapezoid. Everything you want to read.
To find the length of the diagonals, split the top side into 3 sections as shown below: The two congruent sections plus 8 adds to 14., so the two congruent sections add to 6. Reward Your Curiosity. The formula for the length of diagonal uses the Pythagoreon Theorem:, where is the point between and representing the base of the triangle. All Advanced Geometry Resources. Try Numerade free for 7 days. Enjoy live Q&A or pic answer. Document Information. This problem has been solved! Make sure that you convert your assignments to a PDF format before submission to. Click to expand document information. By subtracting the top of the trapezoid from the bottom of the trapezoid, we get: Dividing by two, we have the length of each additional side on the bottom of the trapezoid: Adding these two values together, we get.
Report this Document. © © All Rights Reserved. Divides the trapezoid into Rectangle and right triangle.
Similarly, the other diagonal can be found with this right triangle: Once again using Pythagorean Theorem gives an answer of. To illustrate how to determine the correct length, draw a perpendicular segment from to, calling the point of intersection. To the nearest whole number, give the length of. By the 45-45-45 Triangle Theorem, and. 6-Properties of Trapezoids PDF. Assume the figure is an isoceles trapezoid. 11-Inscribed Angles.
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