The diagonals of a rectangle are 8 units long and intersect at a 60° angle.Find the dimensions of the rectangle

Q: In an isosceles triangle, the vertex angle is 3 times the measure of one of the base angles. Find…

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Q: The diagonals of a parallelogram are 14 meters and 16 meters and intersect at an angle of 60°. Find…

A: Given the diagonals of a parallelogram are 14 m and 16 m. Diagonals intersect at an angle of 60°.

Q: The sides of a right triangle have lengths of 6 cm, 8 cm, and 10 cm. Which length is that of the…

A: Given  The sides of right angle triangle are 6 cm  , 8 cm and 10 cm

Q: Find the diagonals for a parallelogram whose sides are 4.0 m and 6.0 m. Plus one of the angle is…

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

Q: A right triangle has a 45 degree angle. The hypotenuse is twelve. What is the length of the other…

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Q: The four sequential sides of a quadrilateral have lengths a=5.2, b=6.7, c=8.3, and d=11.7 (all…

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Q: In Parallelogram DABC, if line segment AB is 2x+10 cm and line segment DC is 3x cm, then their…

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Q: Find the unknown side of the triangle when  x = 12 in and y = 5 in.  in

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Q: Find the six trig values of (2, - 4) if it's a point on the terminal side of an angle in standard…

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Q: An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the…

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Q: The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each…

A: Given In an isosceles triangle, The vertex angle is 10 less than 3 times its base angle We know that…

Q: A triangular lot sits at the corner of two streets that intersect at an angle of 58°. One street…

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Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: The hypotenuse of a right triangle is twice as long as one of the legs. How long is the other leg?…

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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: Find the unknown side of the triangle when x= 40 in and y = 9 in. in

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Q: A right triangle has two equal sides. If the hypotenuse is 20 meters, what is the length of the…

A: Given  In a right triangle  Hypotenuse = 20m  Other two sides are equal.

Q: Find the measure of an angle that is twice as large as its supplement.

A: Given: Let the required angle be 2x and the supplement angle be x

Q: A right triangle has a hypotenuse of length 9 inches. If one angle is 35°, find the length of each…

A: Given :      A right triangle has a hypotenuse of length 9 inches. and one angle is 35 degree.

Q: the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

Q: A triangular swimming pool measures 42 feet on one side and 68 feet on another side. These sides…

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Q: Find the approximate change in the length of the hypotenuse of a right triangle when its legs change…

A: Approximate change in the length can be found by the differentiation of hypotenuse  apply…

Q: Find the height of the triangle if the base is 3 and the area is 22

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Q: Solve for the side "c" of the smaller triangle (with shorter side c). Given: a=11.4, b-12.8, A-58°…

A: Given: a=11.4, b=12.8, A=58° Apply the cosine rule to find the side ''c''. a2=b2+c2-2bccosA

Q: This problem refers to triangle ABC. If A=50 degrees, B=60 degrees, and b=10cm, find a.

A: Given,

Q: In a triangle, one angle is equal to 60" Find the obtuse angle formed by angle bisectors of the…

A: Considering triangle ABC, Given, Angle A= 60° Let the bisector of angle B and C meet at O.

Q: Solve for X (length of AB) when the length of AC is and Angle C is 14 degrees 28.7 cm A

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Q: One angle of a regular pentagon measures (2x+10)°. Find x. x = [x]

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Q: The sides of a parallelogram are 16 m and 10 ​m, and the longer diagonal makes an angle of 18° with…

A: the diagram of the given problem is, let the length of diagonal AC is d.

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: An equilateral triangle has an altitude of 6 cm. What is the length of the sides?

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Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: The diagonals of a parallelogram are 16 meters and 14 meters and intersect at an angle of 60°. Find…

A: Diagonals of a parallelogram bisect each other, so AO=OC=8 m  and OD=OB=7 m ∠BOC + ∠AOB = 180o 60o +…

Q: The measure of the angle 330° in standard position is given. Find two positive angles and two…

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Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

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Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: Solve the right triangle with a hypotenuse of 10 and an angle on 40 degrees

A: here we have the length of hypotenuse: AB=10 the length of the shorter leg: BC=x the length of the…

Q: A lot is in the shape of a triangle whose two sides measure 150 m and 100 m, with the angle between…

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Q: An angle is fifteen more than twice its complement. how large is the angle?

A: We need to find the angle with the given information.

Q: Solve for X when the length of AB is and Angle C is 33 degrees 45.6 cm A

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Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

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Q: The diagonals of a rectangle enclose an angle of measure 78°. If the perimeter of the rectangle is…

A: Let the length and the breadth of the rectangle be l and b.   Then we have,…

Q: The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of…

A: Given : The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of…

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: in a right angled triangle, one of the angles is 69 degrees and the hypoteneuse is 5m long, to the…

A: We know, for this right angled triangle,        sin 690 = Perpendicular/hypoteneous…

Q: The diagonals of a parallelogram measure 31m and 45 cm. If they intersect at an angle of 48°,…

A: The diagonals of a parallelogram measure 31m and 45 cm. they intersect at an angle of 48°

Q: A right triangle has legs of length X, 2X +2, and a hypotenuse of length 2X +3. What are the Lengths…

A: Topic: triangle

Q: 24. A 6-foot tall man is standing 8 feet from the base of a lamppost, as shown in the diagram.

A: Given that a 6-foot tall man is standing 8 feet from the base of a lamppost.Also, given that if the…

Q: Two buildings with flat roofs are 15 m apart. From the edge of the roof of the lower building, the…

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