. Heron also derived the following formula for the area of an inscribed quadrilateral with sides a, b, c, and d: A = V(s - a)(s – b)(s – c)(s – d), where the semiperimeter s = (a + b + c + d) Use this formula to find the area of an isosceles trapezoid with sides 10. 10, 10. and 20 that is inscribed in a circle.

Q: Calculate the area of the given quadrilateral starting at A and going counter - clockwise using the…

A: Use the formula and substitute the values then simplify.

Q: COAL is a parallelogram and mZ A= 100° If the bisectors of ZA and ZL mee II. at X what is the…

A: Opposite angles in parallelogram are equal and adjacent angles are supplementary to each other

Q: Let AABC be a triangle and let D be a point on the side BC. Prove that the ratio of the areas of…

A: Sketch the triangle ABC.

Q: Given: Trapezoid ABCD with AB||DC and AD BC Prove: AC DB

A: Given information: Trapezoid ABCD with AB¯∥DC and AD¯≅BC¯ Consider the trapezium ABCD and extends it…

Q: Given: In trapezoid ABCD, AB = CD and ZBAD = LCDA; insert diagonals AC and BD Prove: AAMD is…

A:

Q: Given: AP and BP are tangent A to ©Q at A and B C is the midpoint of AB PĆ bisects ZAPB Prove: В

A: given: AP¯ and BP¯ are tangents to the circle having centre Q at A and B. C is the mid point of AB⏜.…

Q: A sector of a circle of radius 14 mi has an area of 98mi? then the central anof the circle is (a)…

A: The area of a sector is given by the formula πr2θ360° where r is the radius of the circle and θ.

Q: Show that quadrilateral RSTV is an isosceles trapezoid. y v (a + d, e) T (c - d, e) R (a, b) S (c,…

A: We have to show that quadrilateral RSTV is an isosceles trapezoid. A trapezoid is a quadrilateral…

Q: In the diagram below, tangent AB and secant ACD are drawn to circle O from an external point A, AB =…

A: Use property of tangent line and secant line

Q: A Find THE PERIMETER OF RHOMBUS ABCD WITH DIA GONALS AC AND BD INTERSECT AT poiNTE IF BD= 24 AND AC=…

A:

Q: Given that △OAB is an isosceles triangle and the shadedsector is a semicircle, find the area of the…

A: We know that, a sector is a portion of a circle which is enclosed between its two radii and the arc…

Q: Find the area of the following trapezoids: 4. 5. 5/2 6. 12 6/2 2/2 20 450 11/2 18 9 24 b...

A:

Q: 7. Given that BOC is a diameter and that ADC = 90°, prove that AC bisects BCD. %3D -E 10.4…

A: Join A and O. Note that, OA is perpendicular to DE

Q: a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain be…

A:

Q: The base of a straight prism is a rhombus with a - diagonal of 3 cm and 4 cm and a diagonal of the…

A: According to the guideline we should have been able to solve only one question at a time  #7 as per…

Q: f AB is a diameter of C(O,r) and if P≠A,B is a third point on C(O,r) then ∠APB=90∘.

A: Given  AB is a diameter of CO,r and if P≠A,B is a third point on CO,r

Q: For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of the triangle AED…

A:

Q: A construction company has adjoined a 4900 ft22 rectangular enclosure to its office building. Three…

A: For the given question, Let us find (a) Find a formula for L in terms of x and y. L(x,y)= (b) Find a…

Q: 17. If AC is a diameter of O0, find the area of the shaded triangle. Exercise 17

A: From the given figure, obtain the area of triangle ABC: A∆ABC=12bh=128+47+4=6×11=66 Obtain the area…

Q: S T 8in C E

A:

Q: The length of the radius of the inscribed circle of a regular n-gon is called the apothem of the…

A: Let A denote the area of a regular n-gon and P be the perimeter of a regular n-gon. The regular…

Q: 16. In a rhombus ABCD, AC = 24 cm and BD 10 cm. Calculate the perimeter of the rhombus. %3D

A: Introduction :

Q: The caudrearoot af x subtrabted from twice X is equal to sove n .In sym bo. ト,2,3,43; Bこt2,46,83.…

A:

Q: 3. Given isosceles right triangle ABC with AC as the hypotenuse (as shown below), a circle with…

A:

Q: 1. Write a coordinate proof to prove the diagonals of an isosceles trapezoid are congruent. Gien…

A:

Q: Calculate the area of the given quadrilateral starting at A and going clockwise using the shoelace…

A: Topic = Area

Q: Give the definition of a rhombus and prove that the area of a rhombus is half the product of the…

A: A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus,…

Q: Consider the following points in the figure lies on the same plane. If the height of the structure…

A: Given, height of the structure is 400 feet, A1B1=7 feet CA=14 feet A2B2=8 feet DA=10 feet

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

A: SOLUTION-

Q: Given A ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale…

A: The dilation factor is 3 Let the new coordinates be A'B'C' Then the new coordinates will be…

Q: Given: AABC, whose sides are 13 in., 14 in., and 15 in. Find: a) BD, the length of the altitude to…

A: Given: △ABC, whose sides are 13 in., 14 in., and 15 in. a) Given BD is the altitude to the base of…

Q: 4. Identify the following: Trapezoid CARE is an isosceles trapezoid. a. Bases: b. Parallel segments:…

A: 4) Parallel sides of trapezium are called as bases of trapezium . Therefore, a) Bases are AR and CE.…

Q: 8. Find the exact perimeter and area of the segment shown, given that mz0 60° and OA %3D %3D 12 in.

A: Please see the below picture for detailed solution.

Q: If the radius of the circle is 10 cm and the height of the triangle is 40 cm. What is the distance…

A:

Q: 9. Given the following equilateral triangle with a circular hole as shown, where would the centroid…

A:

Q: For compactness, the drop-down wheels of a stretcher (or gurney) are folded under it as shown. In…

A: Solution: Consider the given figure of the stretcher and their folded drop-down wheels According to…

Q: Find the area of the following trapezoids: 5. 5/2 6. 12 24 6/2 2/7 20 450 11/2 18 9.

A: .

Q: A В 丰 E D 丰 C. Note: DB and AC are segments.

A:

Q: Given BD is the segment bisector of AC and AC bisects BD, prove AABE ACDE by filling out the…

A: Please refer the attached image for complete solution. THANK YOU.

Q: If LMNO is an isosceles trapezoid, find the coordinates of M

A:

Q: Given that A = 180 in? of the trapezoid solve for the perimeter. Show your work to prove your…

A:

Q: Prove that if c is a constructible number, then so is √|c|. (Hint:Consider the following semicircle…

A:

Q: 1. Given AABC with sides a, b, and c opposite Â, ß, and Ĉ, respectively, express the length of a…

A: Let's define the B-excircle first:   B- excircle of triangle ABC is the circle that is tangent to…

Q: 13) Find the exact perimeter and area of the segment shown, given that m Z0=120° and OA = 14 in. %3D…

A: Explanation: Given that                             We see that, OA and OB area the radius. So, OA =…

Q: A 16-foot monument is composed of a rectugular prism and square pryamid as shown in the diagram.…

A: Surface area of the base square=6×6=36 feet2. Surface area of each rectangle side is =10×6=60 feet2.…

Q: Show that quadrilateral RSTV is an isosceles trapezoid. V(a+d e T(e-de R(a. b)

A: First, find the slope using the points Ra,b and Sc,b. mRS=b-bc-a=0 Now, find the slope using the…

Q: Complete the paragraph proof using the dropdown menu options. First drop down box: All points / All…

A: i have provided solution in step2.

Q: 12 Given: AB = x + 3, A %3D AC = 3x + 2, %3D BC = 2x + 3; ВС Perimeter of AABC = 20. Show that AABC…

A:

Q: If JKLM is an isosceles trapezoid, and KP = 9 and PM = 9, what is JL?

A: In the given isosceles trapezoid JKLM, KP=9 and PM=9