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B) B C) C D) D 44. In ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. If MN =8, ML =5, and NL =6, the perimeter of trapezoid BMNC is A) 35 B) 31 C) 28 D) 26 45. In the diagram below, RCBT ← → and ABC are shown with m∠A =60 and m∠ABT =125. What is m∠ACR? A) 125 B) 115 C) 65 D) 55 46.

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If area of a quadrilateral is 6. cm 2 with one of the diagonals as 4 cm and the angle between the two diagonals as 120, then find the length of the other diagonal. Solution: Case IV: A trapezium

The diagonals of a trapezoid are perpendicular and have lengths 8 8 and 10 10. Find the length of the median of the trapezoid. Median of the Trapezoid: The median of the trapezoid is the midline of...

B is a convex vertex as angle A-B-C is less than л and there is no vertex between A and C so diagonal is added between A and C and we get the final triangulated output as shown in Figure 8. Some sample outputs from 'C++' implementation of this algorithm:-

C-78 Trapezoid Area Conjecture - The area of a trapezoid is given by the formula A=(b1+b2)h 2 where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.

a. Arrange four equal-length sides so the diagonals bisect each other. b. Arrange four equal-length sides so the diagonals are equal lengths also. c. Make each diagonal the same length as four equal-length sides. d. Not possible; Lucinda has to be able to measure a right angle. ____ 14. Find the values of a and b.The diagram is not to scale.

Let's call the area of the trapezoid A; we can then derive a formula as follows. Let's divide the middle term in half so that we can simplify the expression. But we know from our definition that x + b 1 + y is simply b 2. Thus, we have derived a simple formula for the area of a trapezoid with height h and parallel sides of lengths b 1 and b 2.

16. In rectangle MATH, AT = 8 and TH = 12. Find the length of diagonal HA to the nearest tenth. 17. The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, the length of the shorter diagonal is A. 9 B. 15 C. 18 D. 20 18. In the diagram below, LATE is an isosceles trapezoid with LE ˘=AT , LA = 24, ET = 40, and AT ...

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- Jul 29, 2020 · Since the diagonals bisect each other and we know their lengths, we have the entire perimeter of triangle ΔADO. How to find the area of a triangle if we know its perimeter? We can use Heron’s formula. For a triangle with sides a, b, and c, the semi perimeter s is (a+b+c)/2. Heron’s formula gives its area as √[s⋅(s-a)⋅(s-b)⋅(s-c)].

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- Section 7.5 Properties of Trapezoids and Kites 399 Using Properties of Isosceles Trapezoids The stone above the arch in the diagram is an isosceles trapezoid. Find m∠K, m∠M, and m∠J.
- If the non-parallel sides of a trapezoid are congruent, the trapezoid is called an isosceles trapezoid. Like the similarly named triangle that has two sides of equal length, the isosceles trapezoid has a pair of opposite sides of equal length. The other pair of opposite sides is parallel. Below is an example of an isosceles trapezoid.
- The computation of the length of diagonal BD is as follows. Here the trapezoid diagonals divides each other in an equivalent ratio. So, equation would be. AO ÷ OC = OB ÷ OD. Now put there values to the above equation . 3 ÷ 1 = 6 ÷ OD. 3OD = 6. Now divided it by 3 in both the sides. OD = 2. Now the BD would be = BO + OD = 6 + 2 = 8 cm. hence, the length of the diagonal BD is 8 cm
- Page 8 of 24 Muscarella, 2013 5. Find the value of x in the diagram shown. 6. Use the diagram to find S and T. 7. The measures of three of the interior angles of a quadrilateral are 89°, 110°, and 46°.
- C program to find sum of diagonal elements of a matrix without traversing whole matrix. Below program doesn't traverse whole matrix, instead it only visits diagonal elements and adds their values to diagonalSum. It uses the fact that, row and column indexes of every diagonal elements are equal.

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