ECD and the quadratiC formula, (the golden ratio). D 360 E G x(diagonal) 1 F X-1 В A 1

Q: As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E. If AE = x +2…

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Q: A triangular lot ABC, whose side AB and AC has a length of 8m and 5m, respectively. Side DA is 3m…

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Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

Q: A standard proof of the Pythagorean theorem starts with a right triangle ABC, with its right angles…

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Q: 1) How many of the given shape will cover the above octagon?

A: Let's find.

Q: Find the sum of the measures of the interior angles of a poly- gon of n sides if: a) n = 6 b) n = 8

A: To find: The sum of the measures of the interior angles of a polygon of sides 6 and 8.

Q: The diagonals of square ABCD intersect at point E. If BE = 2x +1, and AC = 3(6x - 4), find BD. O 1 O…

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Q: If ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and BC and AD are…

A:

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: Let ABCD be a square. Midpoints M, N, O, and P are on AB, BC, CD, and DA, respectively, Let Q and R…

A:

Q: Here is rectangle ABCD, with AD 8 and CD 6. 6. C. The length of AC is (This is a perfect square, so…

A: We can find the answer for AC as below

Q: Find the length of side KL in the figure * AJKL is isosceles with KJ = LJ. K x+3 X-1 2х- 5

A:

Q: It can be shown that the length of a diagonal of a right rectangular prism with dimensions e, w, and…

A: d=l2+w2+h2l=12 in,w=4 inh=3 in

Q: Derive the distance formula in R^3 from the Pythagorean Theorem.

A: Through the points P and Q, we draw planes parallel to the rectangular coordinate plane such that…

Q: In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height…

A: Find the length (in inches) of the altitude of the pyramid.

Q: 9. 2-y -1 2 -2

A:

Q: The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of…

A: Given that The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the…

Q: A convex quadrilateral has angles in the ratio 1:2:x:4. Give all possible integer values of x.

A:

Q: Prove the following both indirectly in paragraph form and also in a two column formal proof format:…

A: Let ABC be a triangle with sides AB, BC, and CA. Also, M is the mid-point of AB and mc is the median…

Q: Find the length of h, the height drawn to the hypotenuse, of the right AABC with right angle at C if…

A: We can find the answer as below.

Q: A trapezoid ABCD with bases AB and CD  has a circumscribed circle k. Its diagonals are perpendicular…

A: 1) Since diagonals of trapezoid are perpendiculer to each other      hence they bisect each other at…

Q: In right AABC with right ZC, AB = 17 and BC = 15. Find the length of MN if M and N are the midpoints…

A: Given a right angle triangle ∆ABC , AB=17 and BC=15 to find the length MN.

Q: . Heron also derived the following formula for the area of an inscribed quadrilateral with sides a,…

A: Sides of a isosceles trapezoid are a=10, b=10, c=10 & d=20. Now semi perimeter is,…

Q: Consider a right triangle with a side length of x opposite angle A, a side length y opposite angle…

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Q: Find, to the nearest degree, the angles that a diagonal of a box with dimensions 10 cm by 15 cm by…

A: Given: A diagonal of a box with dimensions 10 cm by 15 cm by 25 cm makes with the edges of the box.…

Q: If the area of a square is 2 in.2, then find the length of the square’s diagonal, d

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Q: Given: ROMP is a square Prove: RM PO

A: Two column proof :                           Use a table to present a logical argument and assigns…

Q: A triangle has a 6-inch side, a 14-inch side, and an area of 28 square inches. Determine the…

A: Solution

Q: 65. Show that the maximum area of a parallelogram ADEF that is inscribed in a triangle ABC, as in…

A:

Q: Which is the possible length of the base of a parallelogram if the area is given by

A: Given: Area of Parallelogram=20x5-23x4-41x3+35x2+40x-70Height of Parallelogram=4x-7 To Find: Length…

Q: The product of the sides of the triangle (AB)(BC)(CA) is 51840. If the area of the triangle ABC is…

A:

Q: Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a, b and c, then P…

A: We have to prove that P divides ab.

Q: Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that…

A: Given; Vertices of Quadrilateral R5,-3, S9,0, T3,8, U-1,5 The distance between the vertices R and S…

Q: It can be shown that the length of a diagonal of a right rectangular prism with dimensions €, w, and…

A:

Q: Use the Pythagorean theorem to determine the length of each segment in the figure shown. 6. 1. AB 4…

A: The given figure is: From the given diagram it is clear that: AX=3BX=3YG=1FY=4CZ=5DZ=3

Q: 11. The drawing below shows the dimensions of Kim's kite. 30 cm2 12 cm 48 cm2 2 cm 96 cm2 12 cm If…

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Q: Use Pythagoras' Theorem to find out which of the following combinations of lengths of sides can form…

A: Note : As per the authoring guidelines, when multiple questions or sub parts posted, then only first…

Q: three post are set in level ground in such a manner that their bases form an equilateral triangle…

A: SOLUTION-

Q: E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area…

A: In triangle ABC, using pythagorus theorem - c2 = a2+b2            .............(1)Semicircle on…

Q: Consider regular octagon RSTUVWXY, with each side of length 18, and the length of diagonal RU.…

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Q: Let a and b be lengths of legs and let c be the length of the hypotenuse of a right triangle. Prove…

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Q: Given: Quadrilateral POST is an isosceles trapezoid with OSI| PT, ER is its median. 3. If OS=2x-6,…

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Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

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Q: Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point…

A: Given : ABCDE a Regular Pentagon. Each Side has length 1. Intersection Point of AD and EC is F. Show…

Q: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of…

A: Area of semi circle having diameter of a is, Aa=πa222Aa=πa28         ...(1)  Area of semi circle…

Q: The measures of the three sides of a triangle are AB = 30 in., AC = 50 in., and BC = 60 in. From a…

A: Solution is given below:

Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

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Q: 29. Find a formula for the area of the triangle whose vertices a 0, V1 , and v2 in R².

A: Given that  Vertices of the triangle is 0,v1,V2  To find the area of the triangle

Q: Given a rhombicuboctahedron with 4/2 as the diagonal length of a square face, the sum of the areas…

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Q: 3. Label each triangle as acute, obtuse, right angle, isosceles, equilateral, and scalene. AAA 80…

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