In a triangle with sides of lengths a, b, and e and semiperimeter s, show that the length of the radius of the inscribed circle is 2Vs(s a)(s b)(s - c) a + b + c

Q: Find the perimeter of A ABC if AB, BC, and CA are tangents to the circle. B 17 in D E 23 in 15 in 41

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Q: A__________ _____________is a positive angle whose vertex is at the center of a circle.

A: A __________ _____________ is a positive angle whose vertex is at the center of a circle.

Q: 16. Find the length of in the circle. Y is the center point. YZ = 5, and MLXYZ = 45. %3D rloso eme…

A: We have given a circle and the radius of the circle YZ=5 angle XYZ= 450

Q: Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many…

A: Pigeonhole Principle: If n pigeonholes are occupied by n+1 or more pigeons, then at least one…

Q: If PQ is tangent to circle R at point Q, and PS is tangent to OR at point S, what is the perimeter…

A: RS=RT=5   ∵Radius of the circle Therefore, PR=PT+RT⇒PR=4+5⇒PR=9 Now by using Pythagorean theorem in…

Q: What is the length of AB? AB and BC are tangents to the circle. 7x+5 x+23

A: Circle question

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P1(x1,…

A: Given:

Q: Triangle XYZ is congruent to Triangle ABC, AB = 8x + 33, XY = 2x + 57, BC = 3x + 48. Find the…

A: Given ,  Triangle XYZ is congruent to Triangle ABC AB = 8x + 33 , XY = 2x + 57, BC = 3x + 48 We have…

Q: 1. All sides of AABC are tangent to circle P. What is the perimeter of triangle ABC?

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Q: If mZABC = 2.5x - 20 and mAC = 4x-5, what is mBD?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale). JA = 7 cm, AL = 6 cm, and CK = 9cm.…

A: Perimeter of triangle

Q: Assume D, E, and F are tangent to Circle O. Find the perimeter of the triangle. 3 4 A 10

A: Given from the given figure

Q: A circle has a diameter of 28 - A trapezoid has bases x and (x+2) and a height of 4.

A:

Q: In circle A below. points B, C, and D lie on the circle, and MLBCD = 60. %3D 60 [Seec MLDAB= degrees…

A: Angle subtended at the centre of the circle is double the angle subtended at any other point on the…

Q: 14. In Equilateral Triangle TRA, ZO is a midsegment. If TA 5x2 - 3x – 8 and ZO = 2x² -3x + 1, then…

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Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

A:

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: Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11,…

A: The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a…

Q: 3. Calculate the height of each triangle, to the nearest tenth of a centimeter. Using that…

A: The given problems  a) angle R = 99° r = 12.1 cm       s = 10 cm b) angle X = 48° x = 5.6 cm,…

Q: A triangle has a perimeter of 40 and area of 60. Using A = 1/2rP, find the length of radius r for…

A: Given data: P=40 A=60

Q: 12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and. JL = 8x + 35, find x and…

A:

Q: 3 Find the coordinates of point C on segment [AB], shown below, such that the length of [AC] is - of…

A: Given

Q: Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an…

A: Given:

Q: What is the area of the triangle whose vertices are at (p,q) (3p,q) and (2p,3q), where p.q>0 ? C2pq…

A: We have to find the area of the triangle whose vertices are p,q,3p,q, and 2p,3q.

Q: 8. Classify the following triangle based on its shape. C isosceles equilateral scalene right A,

A: There is right angle between sides A and C.

Q: On a coordinate plane, triangle FGH is formed with the vertices at point F(4, 2), point G(4, 6), and…

A: We have given that F(4, 2), G(4, 6) and H(6, 4).

Q: In a triangle XYZ, which is right angled at Y, find the side length of YZ, if XY = 5 cm and zC = 30°…

A: Given: XY=5 cm ∠C=30°

Q: 6. The distance between the centres of the circles, A and B, is 60 m. Each circle has a radius of 40…

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Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mZW XU = 68…

A: as X and W are midpoints of UV and  UT respectively, line WX divides line UT and UV proportionally

Q: The diagram shows AABC inscribed in circle D. If m/CBD=44°, find mZBAC. ABCD is an isosceles…

A: ∆BCD is an isosceles triangle. m∠CBD=44°

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P, (x4,…

A:

Q: In circle P with mZNRQ = 23, find the mZN PQ. %3D R

A:

Q: 29. In triangle GHJ below, points A, B and C are midpoints of the sides. А G When AB 3x + 8 and GJ =…

A:

Q: Use similar triangles to find the coordinates of the point Q that di- vides the segment from P1(x1,…

A:

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: In the right triangle ABC, AB=2, BC=4, and ED is a line parallel to AB. Find the angle BAD which…

A: The triangle ABC is as follows

Q: Use Theorem 11.4.1 to show that the area of an equilateral triangle with sides of length s is given…

A: Consider the given:  Let the length of side of Equilateral triangle is “s”.

Q: In the triangles PQR and STU, ZRPQ = 2 × ZUST, ZPRQ = 2 × ZSUT and ZRQP = = x LUTS. %3D %3D How…

A: Given that in triangle PQR and STU, ∠RPQ=2×∠UST,              (1)∠PRQ=2×∠SUT,…

Q: (1) Riley plotted A(-1,6), B(3,8), C(6,-1), and D(1,0) to form a quadrilateral. Prove that Riley's…

A:

Q: 7. The sides of quadrilateral PQRS are tangent to the circle at the points as pictured below. What…

A: Use the property of quadrilateral inscribed a circle.

Q: AABC is an isosceles right triangle with hypotenuse AC of length 2V2. If medians AD and BE intersect…

A: Since ∆ABC is an isoscles right triangle with hypotenuse AC of length 22 if median AD and BE…

Q: 7. In AJKL, L = 40°, ZK = 72°, and k = 24 cm. Determine the perimeter of the triangle to the nearest…

A: We can find the perimeter as below using sin law.

Q: Where P is the perimeter of a triangle whose inscribed circle has radius length r, the area of the…

A: Where P is the perimeter of a triangle whose inscribed circle has radius length r,the area of the…

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: The image shows a circle with diameters AC and BD. Prove that chords BC and AD (not drawn) are…

A: Find your answer below

Q: 9. In an isosceles trapezoid, connecting the midpoints of adjacent sides forms which of the…

A:

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

A:

Q: In a right triangle with sides of lengths a, b, and c (where e is the length of the hypotenuse),…

A: Solution: Consider the given right triangle having sides a, b, and c where c is the hypotenuse. We…

Q: 13. Given two segments with lengths x and y (x not equal to y), what special parallelograms meet the…

A: Given that two segemnts with lengths x and y where x≠yOur Aim is to tell the type of parallelogram…