In the diagram of A ABC below, AB= 10, BC = 14, and AC = 16. Find the perimeter of the triangle formed by connecting the midpoints of the sides of ΔΑBC. B 10 14 16

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

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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: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE AC.…

A: In △ABC,point D and E are on sides AB and CB respectively,such that DE∥AC       If EB is 3 more…

Q: 3) If (AD) = (BD). Find the area and perimeter of the triangle (BCD) shown in fig. 1200.0 A

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Q: . In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

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Q: 6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure 120. What is the longest side…

A: Given that : In ∆DEF, m∠D=50, an exterior angle of vertex F has measure 120

Q: 13) In the diagram below, BC connects points B and C on the congruent sides of isosceles triangle…

A: We have to find the length of BC from the given figure.

Q: 15. In the figure, AB I CD and LACDZCRD. Determine whether AB is a diameter of the circle. D

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Q: 4) If (AD) = (BD). Find the area and perimeter of the triangle (BCD) shown in fig. %3D D 1200.0 A

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Q: In the diagram below, quadrilateral ABCD is inscribed in circle P. /110" 72 What is mZADC? 2) In…

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Q: 23 In the figure, AC and OD intersect at B. If AC = 18 cm, BC = 4 cm and BD 2 cm, calculate (a) the…

A: For a right angle triangle from Pythagoras theorem we have,            base²+height²= hypotenuse²…

Q: 2. In the figure at the right, LA and LD are right angles, AB = 10 cm, CD = 4 cm, and DO = 3 cm.…

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Q: In the accompanying diagram of AABC, AB = 4x - 3, BC = 2x + 7, AC = 5x- 1, and the perimeter of AABC…

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Q: Given a triangle ABC with points D. E. and Fas midooints of sides AC AB, and BC respectively. If AB…

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Q: Consider the diagram below. B 3.5 in 2 in. C For the above circular shape, chord FE is a…

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Q: In a parallelogram ABCD, |AB|= 12,|AC = 14. The distance from D to AC is 4. Find the distance from D…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: In the diagram below AB = BD, BF = CD = 2 and BC = 3. A B C D To calculate the length of DE we must…

A: In △FDE, the common point B is outside the triangleLet EB, FC and DA are caviansAFAE*FGGD*CECD=1So…

Q: Given: Pentagon ABCDE with DC DE AE=AB=5 BC = 12 Find: A ABCDE E C

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Q: Find the area of triangle ABC given A = 24 degree10' , B = 120 degree 40' ,and a = 4.25 ft.

A: Consider the given information about the triangle A=24degree10°,and B=120degree40' and a=4.25ft Find…

Q: In the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC.…

A: We have to find the perimeter of ∆ABC from figure,

Q: In the diagram of right triangle abc, cd intersects hypotenuse ab at d.  If ad = 4 and db = 6, which…

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Q: The sides of a cyclic quadrilateral are AB=9.90cm, BC=4.79cm, CD= 12.69cm and DA=10.72cm. a. Find…

A: Consider the following figure. AB = 9.90 cm = a BC = 4.79 cm = b CD = 12.69 cm = c DA = 10.72 cm =…

Q: 2. In the diagram shown of AACT,D is the midpoint of AC,0 is the midpoint of AT, and G is the…

A: We will apply foltlowing theorem in this problem  If in any triangle, the line joining the mid…

Q: In the figure, triangle ABC has a right angle at B and ZA = 55°. If CD is the bisector of 2ACB, find…

A: topic - angles and triangles

Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE ||…

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Q: 12. in the diagram below of isosceles triangle ABC, AB CB and angle bisectors AD, BF , and CE are…

A: topic - triangles

Q: If AC is a diameter of ©0, find the area of the shaded triangle. A 8 4 4 7

A: the given figure is: we have to find the area of the shaded triangle.

Q: The area of a triangle with base length A and height B is a) OA+B p) OAB/2 =) OAB/3 3) O (A+B)/2 :)…

A: Given that:Length of base =AHeight of triangle =B

Q: In the diagram below, AB, BC, and AC are tangents to circle 0 at points F, E, and D, respectively,…

A: From an external point, only two tangents can be drawn to a circle and they are equal in length.

Q: The coordinates at the vertices A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: If we can find the height of the triangle then area can find out using 12×base×height

Q: 9. AABC is an isosceles triangle with AB BC. If AB = 3x + 41, BC = 8x – 54, and AC = 12x– 103, find…

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Q: In the accompanying diagram, secant AB intersects circle O at D, secant AC intersects circle O at E,…

A: Solve

Q: In the diagram of circle O, OB and OC are radii, and chords AB, BC, and AC are drawn. Which…

A: Given- In the diagram of circle O, OB and OC are radii and chords AB, BC,AC are drawn . To Find-…

Q: The area of a triangle whose base is b and whose altitude is h is A =  ________.

A: We have to fill in the blanks: The area of a triangle whose base is b and whose altitude is h is…

Q: In the figure, the side BC of AABC touches the circle. The sides AB and AC are produced to touch the…

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Q: In the diagram below, AB and CD are bases of trapezoid ABCD. D A B (Not drawn to scale) If m/B = 123…

A: If m∠B = 123° , & m∠D = 75°m∠C= ?AB|| DC∠A +∠D = 180°& ∠B+∠C = 180°

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: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m2CDB = 27,…

A: Solve the following

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

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Q: In the diagram below of circle O, chords AB and CD intersect at E. D 72 58 E If m4C = 72° and mZAEC…

A: We will solve the given question using the "Angle of intersecting chords theorem".

Q: A. C D V

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Q: In triangle ABC (not shown), M is the midpoint of AB and N is the midpoint of AC.   If MN = 3x – 11…

A: Given: A triangle ABC with M midpoint of AB and N a midpoint of AC. MN = 3x-11 and BC = 4x+24 To…

Q: Find the semiperimeter s of triangle ABC. a = 3.1 m, b = 2.5 m, c = 2.7 m s =

A: Known fact: Let a, b and c are sides lengths of triangle. then semi perimeter is given by s=a+b+c2.

Q: In the accompanying diagram of right triangle ABC, CD is drawn perpendicular to hypotenuse AB. If AB…

A: The cosine (cos) of an acute angle in a right triangle is the ratio of the side adjacent of the…

Q: 1. In the diagram, each side of quadrilateral ABCD is tangent to OJ. Find the perimeter of the…

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Q: In the diagram of A ABC below, AB = 10, BC = 14, and AC = 16. Find the perimeter of the triangle…

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Q: In the figure below, points D, E, and F are the midpoints of the sides of AABC. Suppose DF=34,…

A: Given:-DF = 34, AC = 48 & BC = 78 We have to find DE, AB & BE

Q: In the figure, A, B and C are 3 points on the circumference of the circle such that AB BC and…

A: ∠BAC=40° , AB⏜=BC⏜ and AD is diameter as shown in figure: We have to find (1) ∠CAD (2) ∠CED

Q: 6. If APOR is an equilateral triangle, PQ = 18x + 1. QR=24x-17, and PR= 15x+ 10, find x and the…

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Q: A quadrilateral is inscribed in a circle. its sides are AB=68.50m BC=155.54m CD=101.61m and…

A: Given Data- We have given a quadrilateral inscribed in a circle. Sides are- AB=68.50m BC=155.54m…