Let AABC be a triangle. Fix the points X, Y, and Z on AB, AC, and BC, respectively (as in the figure) such that CZ 4. Assume that the area of AXYZ is one and calculate the area of AABC. BX AY %3D ХА YC ZB

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: Let AB = a and BC = b. Point M is the midpoint of BC. If AN = (AB), find the length of NM in terms…

A: Given:                  Length of AB= a,                  Length of BC=b;   Point M is the mid-point…

Q: Isosceles ACAR is inscribed in . If mCR=130, find: %3D a. тСARD b. m ACRO C. m ARCO d. mAC = e. mAR…

A: Topic:- geometry

Q: If B = 29.5°, C = 64.5°, and a = 18.8, find the area of AABC %3D %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. In 2, M, R, and T are the midpoints of AB, BC and CA, respectively, in AABC. If AB = 22 cm, BC =…

A: Given: M, R, and T are the mid points of AB¯, BC¯, and, AC¯ respectively. AB = 22cm, BC = 12cm, AC =…

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: Consider the following figure. W S Given: pentagon RSTVW with mzVRS = mzVSR = 60°, RS = 14/2, and…

A: angle VRS and angle VSR are 60° and side RS = 14√2 units Hence, triangle VRS is an equilateral…

Q: Use the Pythagorean Theorem to find h. Useh to find the area. 10 13 h = Area = %3D 15 6.

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Q: Describe your plan for proving the following.

A: Given CD¯⊥AB¯D is the midpoint of AB¯

Q: Find the area of the parallelogram that has u = i – 2j + k and 2j + k as adjacent sides. V NOTE:…

A: Calculate the cross product of two vectors and then find the magnitude

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE:…

A: The formula for the area is |u x v| u=2i-3j+2k v=2j+k u x v=ijk2-32021         =i(-3-4)-j(2-0)+k(4)…

Q: Show that the area of triangle ABC is given by sqrt(s(s - a)(s - b)(s - c)) where s = (a + b + c)/2…

A: Show that the area of triangle ABC.

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE:…

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Q: 1.3. Determine the area of the rectangular ABCD with AB = 5cm and BC = 3cm. %3D 5ст A 3 ст

A: As we know that area of a rectangle =length×breadth

Q: Consider quadrilateral ABCD shown in the coordinate plane.   Greg used the shoelace formula and…

A: Shoelace formula.

Q: Given: G is the centroid of isosceles triangle AEC. AB = 6 and AF = 5. Find the perimeter. A B

A: According to given figure if G is centroid then EB, AD and FC will be medians of the triangle  So,…

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: Find the area of the parallelogram that has adjacent sides u=2i−j+k and v=2j−k.

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Q: A sector of a circle of radius 14 mi has an area of 294mi? then the central angle of the circle is…

A: Given: r=14  miArea=294  mi2θ=?

Q: Find the area of the blue lune if the ball has a radius of 5 inches and the angle that makes up the…

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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: Given: The area of right AABC (not shown) is 40 in?. mZC = 90° АС 3D х %3D Find:

A: Given a right triangle ABC right angled at C. The area of triangle ABC = 40 sq. in. Given two sides…

Q: S and E are the midpoints of BA and AM, respectively. Use the properties of midsegments to find the…

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Q: Find the area of the parallelogram that has u = 2i – 2j + k and j+ 3k as adjacent sides. - NOTE:…

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Q: A D F C Given ZA = 65 and ZE = 16, what is the length of EC? %3D

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Q: Given: AADE is the dilation image of AABC, and BC = 4, AB = 3, and DE = 12. %3D 45. The center is

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Q: Consider the following figure. A ABCD D Given: Find: B A In OO, OA = 15, BC = 18, and CD = 12. AABCD…

A: Given: A circle inscribed in a quadrilateral with center O, OA=15, BC=18, and CD=12 Find the area of…

Q: 2. Find the area of the triangle ABC, given b = 28.6 m, c = 44.3 m, and B = 23.3°. C=44.3 28.6…

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Q: Let ABCD be an isosceles trapezoid with AD = CD, and BD are 15, 18, and 10, respectively. Let K be…

A: Given an isosceles trapezoid ABCD with AD=BC and AB<CD. Distances from A to the lines BC,CD and…

Q: Let ABC be a triangle and let P be a point inside. Let X, Y, Z be the intersections of AP, BP, CP…

A: Using Ceva's Theorem:     CXXB·BZZA·AYYC=1 ⇒CX·BZ·AY=XB·ZA·YC

Q: Let ā = mi – j+ k, b = 2i + 2j + 3k, and č = -4i +j+ nk represent the sides of a parallelepiped…

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Q: Find the area of the triangle with vertices P1, P2, and P3, where −−→P1P2 = 2i + 3j − k and −−→P1P3…

A: Given :            Triangle with vertices P1, P2 and P3 where P1P2→ = 2i→ + 3j→ - k→ and P1P3→ =…

Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: AWXY and AABC are isosceles, with bases WY and AB respectively. If ZX and ZB are each 50° and WX =…

A: Given, Isosceles triangle WXY and ABC. WY and AB are bases Angle X= Angle B= 50° WX=BC

Q: Determine the type of triangle that is drawn below. N 45° 5.02 7.11 90 M 45° 5.02 Scalene Acute…

A: A triangle is said to be acute triangle if all three angles of a triangle are less than 90o.  A…

Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

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Q: 1 AMTC is an isosceles triangle and V is the midpoint of CT. M(?, b) C(o, 0) V(?, ?) T(6a, 0)

A: Topic = Triangles

Q: find the area of the given polygon. 13. A 7 ft D 14. 4 ft B -13 ft 20 m Trapezoid ABCD with AB = DC…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3.) AWXY and AABC are isosceles, with bases WY and AB respectively. If ZX and ZB are each 50° and WX…

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Q: ABC is a triangle inscribed in a circle. The bisector of ÐBAC cuts BC at X and the circle at Y.…

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Q: 12) Find the area of the triangle ABC under the given conditions using: A= 26°, b = 9 feet, and c 5…

A: Area of a triangle =a.b.sin(γ)2 where,  a & b are the sides  γ is the angle

Q: IV. Let s=2j+2k and t=2i+2j+hk. Find h such that the angle between s and t is Find the area of the…

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Q: A sector of a circle of radius 14 mi has an area of 196mi? then the central angle of the circle is…

A: Given : A sector of a circle of radius 14 mi has an area of 196 mi2.   To find the central angle…

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: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: Exercise 10. In Geometry Figure 36 below, ABCD is a rectangle, AB = 5, AF = 7, and FD = 3. Find the…

A: ABCD is a rectangle. We have to answer the folloeing...

Q: Let the points B, C be perpendicular to the bases O and A (13,0), respectively, on the line 5x-12y +…

A: Given equation of line: 5x-12y+65=0 Coordinates of point A: (13,0)  Coordinates of point O: (0,0)

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: Given: E is the midpoint of AB and CD Prove: ΔΑEC - ΔΒED C

A: Given that: E is the mid point of AB and CD