Example 16: The area of a rhombus is 59.5 in? and one diagonal is 14 inches. Find the length of the other diagonal.

Q: A semielliptic archway has a height of 20 feet and a width of 50 feet, as shown in the figure. Can a…

A: Given that, A semielliptic archway has a height of 20 feet and a width of 50 feet. Find an ellipse…

Q: A playground is in the shape of an isosceles triangle ABC, where AB= AC. <B= 49°, and BC = 15 cm.…

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Q: A goldsmith designed a trapezoidal pendant as shown in the figure below. If x, the perpendicular…

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Q: In quadrilateral ABCD (Figure 8.20), the lengths of the sides and of diagonal BD are shown. Find the…

A: Given: A quadrilateral ABCD Formula Used: Heron's Formula: s=a+b+c2Area=ss-as-bs-c

Q: Judging by appearance, classify each quadrilateral in as many ways as possible. 1. 2. 3. 4.

A: (1) A trapezium is a 2-D shape and a type of quadrilateral, which has only two parallel sides and…

Q: Identify the shape as specifically as possible based on the description below: A quadrilateral…

A: A quadrilateral where all sides are congruent.

Q: Find the area of an isosceles trapezoid with legs 7 and bases 11 and 21.

A: Consider the  isosceles trapezoid ABCD.

Q: Identify the shape as specifically as possible based on the description below: A quadrilateral…

A: Two sides are congruent means that the two sides are of equal length.

Q: In the quadrilateral ABCD the sides were measured as follows: AB, 6.8 m; BC 10.78 m; CD, 9.89 m; and…

A: Since the measure of all the sides of the triangle is given along with the measure of one diagonal,…

Q: Example 10: BD is the perpendicular bisector of AC, BC = 8 and AD = 5. Find the perimeter of AABC A…

A: Perpendicular bisector: A perpendicular bisector is a line segment which intersects the other line…

Q: 5. Find the length of the shorter diagonal in a rhombus with an area of 30 m² if the lengths of the…

A: Given: Area =30m2 length of diagonal differ by 4

Q: Explain in detail why a square could also be: a rectangle, a rhombus, and a parallelogram. You have…

A: Given,         Explain in detail why a square could also be : a rectangle, a rhombus and a…

Q: If the diagonals of a rhombus are 12 cm and 5 cm , find the perimeter of the rhombus ?

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Q: Give the most precise classification for the figure below. A. Quadrilateral B. Rectangle C.…

A: Quadrilateral- It is a closed, two-dimensional shape that has four straight sides. all of the three…

Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 9 and…

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Q: The diagonals of a quadrilateral are 58cm and 42cm and they intersect at an angle of 78 degrees.…

A: Given: The diagonal is given as, 58 cm and 42 cm The angle is 78 degree

Q: When ΔABC is fitted together with ΔDEF to form a parallelogram, what is the area of the…

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Q: The diagonals of quadrilateral ABCD are perpendicular. If AC = 14 inches and E BD = 25 inches, find…

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Q: 1. Find the area of rhombus if the diagonals are 12 inches and 16 inches. Find the altitude of the…

A: Rhombus is the quadilateral in which all the sides are equal. Few points about rhombus: 1) Diagonals…

Q: The area of a kite is 54 units² .What are the two possibilities for the lengths of the diagonals?

A: It is known that area of kite is 54 square units.

Q: Find the area of the triangle having vertices A (0, 0, 0), B (0,

A: In this question we will use basic of algebra i.e finding area of triangle when coordinate of…

Q: Given: AABC with perimeter 40 AB = 10 BC = x + 6 АС %3D 2х — 3 Whether AABC is scalene, isosceles,…

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Q: Example 7 15. The area of a rhombus is 168 square centimeters. If one diagonal is three times as…

A: Recall: Area of the Rhombus , A = 12×d1×d2; where 'd1' and 'd2' are diagonals of the rhombus.

Q: Quadrilateral BCDE is an isosceles trapezoid, BD = 6a + 3, and CE = 7a. What is the value of a? A B…

A: Isosceles trapezoid BCDE with BD = 6a+3 and CE = 7a is given by To evaluate : The value of a

Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

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Q: If the diagonals of a rhombus are 12 and 20, then what is the area of the quadrilateral formed by…

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Q: In the diagram below of isosceles trapezoid ABCD, AB=CD=25, AD=26, and BC=12. What is the length of…

A: Due to symmetry in the right triangles both sides AE = FD = 7

Q: Quadrilateral CDEF is an isosceles trapezoid, CE = 8z - 80, and DF = 4z - 28. What is the value of…

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Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. D 10 A B If the length of diagonal AC is 12,…

A: Given: In rhombus ABCD with diagonals , AD = 10. The length of diagonal is 12. To find: The length…

Q: Find the area of an isosceles trapezoid with legs 5 and bases 4 and 12.

A: Given- An isosceles trapezoid with legs 5 and bases 4 and 12. To find- The area of the isosceles…

Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 5 and…

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Q: Triangles ABC and AEF appear to be A equilateral © isosceles A B congruent D similar

A: Similar triangle: - If two triangles have the same ratio of corresponding sides and an equal pair of…

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

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Q: How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices…

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Q: 4. The diagonals of the quadrilateral below represent the support beams of a pavillion. What is the…

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Q: Approximate the remaining parts of triangle ABC.a = 37, b = 55, c = 43

A: Given the three sides of a triangle a=37 , b=55 and c=43. We need to find the remaining parts of…

Q: 16. What is the area of a rhombus whose diagonals have lengths d, = 12 inches and d, 14 inches? Show…

A: Given diagonals of rhombus d1 and d2 are  12 inches and 14 inches respectively.

Q: Jse Pythagoras' theorem to find the exact length of the missing side, b. V2

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Q: The area of a rhombus is 215 sq. in. and one diagonal is 18 in. Find the other diagonal.

A: Refer to the question we need to find the length of diagonal if one of the diagonal's length is 18…

Q: Entered Answer Preview 29.5 29.5 Find the area of the quadrangle with vertices (6, 1), (-5,5), (–3,…

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Q: The image shows two posts on a suspension bridge, where the hypotenuse of the sketched triangle is…

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Q: Which solids can have a cross-section in the shape of an equilateral triangle? Select all that…

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Q: The following is an isosceles trapezoid. If AP = 7.5 feet and PC = 2.3 feet, find the length of the…

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Q: If the diagonals of a rhombus measure 30 cm. and 78 cm., what is the perimeter of the rhombus?

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Q: A rhombus has diagonals of 6 cm and 8 cm, what is the length of one side in inches?

A: A rhombus has diagonals of 6 cm and 8 cm, what is the length of one side in inches?

Q: The area of the rhombus is 132 sq cm, if its shorter diagonal is 12 cm, find the longer diagonal.

A: Solution is here provided

Q: F. E. D

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Q: Given a rhombus with a side length of 13 cm and a diagonal of Io cm and an area of 120 cm? ; find…

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Q: 1. Katherine and Adam need a rug for their living room. They have purchased a rectangular rug that…

A: Rug is basically the floor covering made of thick fabric.   Here,            Katherine and Adam…

Q: The hypotenuse of a 30°-60°-90° triangle  has a length of 15 cm. which could be the length of the…

A: Use trigonometric ratios to find the length of the legs of the triangle.