The length of the altitude of an equilateral triangle is  . Find the length of a side of the triangle.

Q: A right triangle has legs of 7 and 3. What is the length of the hypotenuse?

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Q: Solve for the lengths of the midsegment and the base it is parallel to in the diagram below: 3x + 6…

A: Given : A triangle with midsegment.

Q: Find the values of a and b that would make the quadrilateral a parallelogram. Just type the numbers…

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Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

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Q: Using any convenient length for a side, construct an equilateral triangle

A: We need a compass and a ruler to construct an equilateral triangle. An equilateral triangle is a…

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: Each leg of an isosceles right triangle has a length of 6V2 in. What is the length of the…

A: We are given that each leg of isosceles right triangle has a length of 62in.We have to find the…

Q: If the length of one side of an equilateral triangle is 2a, find the lengthof an altitude.

A: Given:  Length of one side of an equilateral triangle is 2a. To find: the length of its altitude.

Q: (d) A triangle is equilateral only if all its sides have the same length.

A: d) If all the sides of a triangle are having the same length, then only possibility will be that…

Q: Find the values of x and y that make the quadrilateral a parallelogram.

A: Given,           A quadrilateral ABCD is a parallelogram is shown below :

Q: The length of a side of an triangle is 30 cm. Find the height of the triangle. equilateral

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Q: The slant height should be used when finding the perimeter of a parallelogram. O True O False

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Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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Q: 4x 6x 8.

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Q: Find the semiperimeter of a triangle.

A: Let a, b and c are side lengths of a triangle. Its perimeter is denoted by s and defined as s=a+b+c.

Q: Use the Pythagorean theorem to find the lengths of the sides of the right triangle. (3m)(5m)(2m+8)

A: lengths of the sides of the right triangle are (3m), (5m) and (2m+8).

Q: 24

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Q: The diagonal of a square has length 14. Find the length of a side.

A: Given that  There is a square. Length of diagonal is 14 unit. Let length of side is x unit.

Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: Given quadrilateral ABCD in a parallelogram. Find the mLD- D C (5.x-22)° (2x+35)° A В

A: ABCD is parallelogram then opposite angle are equal and ABCD is quadrila

Q: The perimeter of an equilateral triangle is 6. Find the length of the apothem AND the area of the…

A: According to the given information the perimeter of an equilateral triangle is 6.Since the perimeter…

Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C =…

A: The given three vertices of a triangle are A(-1,0), B(2,1) and C(1,-2). Now, considering the sides…

Q: Find the area of the shaded triangle if the area of an equilateral triangle AABC is 36.

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Q: The area of the parallelogram is 45 square miles. Find its base and height. The base is

A: Area of a parallelogram is the product of its base and height.  Base (b) =  (x + 2) miles  Height…

Q: Find the value of the variables of this equilateral triangle.

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Q: Which quadrilateral is not a parallelogram? A. В. С. D.

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Q: In an isosceles right triangle, if the hypotenuse has length b√2 , then each leg has length

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Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

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Q: Is the quadrilateral also a parallelogram? Use complete sentences to explain why or why not. a) A %3…

A: Solution:

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: Two vertices of equivalent triangle are 0, 0  and  2a, 0. Clearly, the distance between 0, 0  and…

Q: An equilateral triangle has an altitude of 6cm.

A: Altitude of an equilateral triangle is given by :l=32awhere a = length of side

Q: If one side of an equilateral triangle has a length of 6, what is the length of its altitude?

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Q: ABCD is a parallelogram. If AB = 9x + 27, BC = 6x+ 12 and DA = -2x + 36, find both x and the length…

A: Given : ABCD is a parallelogram. AB = 9x+27BC = 6x+12DA = -2x+36

Q: how do you find the distance  of a triangle with legs of 15 and 7?

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Q: Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)

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Q: Line QS is a perpendicular bisector to triangle PQR as pictured below. 4x 2 10 P What is the length…

A: For the solution follow the next step.

Q: Can you prove this quadrilateral is a parallelogram? P 4

A: Geometry Question

Q: Solve for the area and perimeter of the parallelogram below.

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Q: The side of an equilateral triangle ABC measures x. How much is the perimeter of a square whose side…

A: Explanation of the answer is as follows

Q: Find the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 7,…

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Q: Given quadrilateral ABCD, find the values for x

A: It is given that , ABCD is a quadrilateral,  Here we have to find the values of x and y.

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: Given a right triangle with a leg length of 7km and hypotenuse of length 25 km, find the length of…

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Q: values of x and y that make the quadrilateral a parallelogram.

A: 17 in Parallelogram opposite angles are equal .

Q: Determine if the triangle is scalene, isosceles, or equilateral AND find the perimeter to the…

A: The given vertices of the triangle are A(-8, 1), B(-4, -4) and C(0, 1). Evaluate the length of the…

Q: The hypotenuse of a 30°-60°-90° triangle  has a length of 15 cm. which could be the length of the…

A: Use trigonometric ratios to find the length of the legs of the triangle.

Q: Solve for the lengths of the midsegment and the base it is parallel to in the diagram below: 3x +6…

A: Consider