Use Theorem 11.4.1 to show that the area of an equilateral triangle with sides of length s is given by A = V3.

Q: (4) In Figure 13, ABCD is a trapezium with AD/BC and AD-BC-3:4. Mis the mid-point of BC. A and BD…

A: AD || BC AD : BC= 3:4 Area triangle BNM=8 cm square

Q: this problem is in the context of Hyperbolic Geometry. Let us suppose that the standard unit length,…

A: The Bolyai-Lobachevsky formula relates the hyperbolic distance d in the hyperbolic plane to the…

Q: Let y be a circumference and let P be a point in the plane that lies inside y (but distinct from its…

A: Drawing a circumference means drawing a circle of any radius. tangent intersects the graph only at…

Q: 4 42 35 28 21 14 y 7 7 feet A) B) 14 feet C) 21 feet 0 _y=h(x) > 1 2 3 4 5 6 -X The line in the…

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Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on…

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Q: ABCD is a quadrilateral such that AB =b.AD = d, AC =mb+pd. Show that the area of the quadrilateral…

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Q: 16) ST and SR are tangent to Circle C. Find ST. А. 3 x+ 12 В. 7.3 C. 12 4x +9 D. 13

A: Solution:Given    ST=4x+9   and ST=x+12To find length ST:Formula:ST and SR be two tangent of a…

Q: Find the perimeter of quadrilateral QRST Ox745 T 60° 36V/2 imeter of QRST = R 2015 S

A: m∠SQT=90°,m∠STQ=60° ,SQ=362

Q: Let A, B and C be three points in a n. g. lying on a circle with center D. Show that: if D is in…

A: Saccheri theorem states that the sum of angles of a triangle is atmost 180°.

Q: angle at whih the para bola intersects. the pesitive x-axis.

A: Angle of intersection means angle between tangent at intersection point with x axis. dy/dx =…

Q: 8. Let T be an acute-angled triangle with vertices A, B and C. Let the sides BC, CA, AB of T have…

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Q: Before James Garfield was elected president of the United States, he discovered a proof of the…

A: Thank you 😊

Q: A cylinder with a top and bottom has radius 2x + 1 and height 2x - 1. A Write a simplified…

A: A cylinder with a top and bottom has radius 2x+1 and height 2x-1 We have to find its surface area…

Q: cylinder with a top and bottom has radius 2x + 1 and height 2x - 1. A Write a simplified expressions…

A: Given: The radius of the cylinder is 2x+1and the height is 2x-1. To find: (a) The surface area. (b)…

Q: let v = (1, 3, −2) and w = (2, −1, 4). Find the area of the parallelogram spanned by v and w.

A: Given: v=1,3,-2 w=2,-1,4 Determine the cross product of v and w.…

Q: Two lines through a point M are tangent to a circle at the points A and B. The radius OB is extended…

A: Given: Two lines through a point M are tangent to a circle at the points A and B. The radius OB is…

Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Q: 1. Find the required length, given B is the midpoint of AC and C is the midpoint of BD. (a) AB-15,…

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Q: Prove that 8. V57 lies on the unit circle. 8.

A: The unit circle is the circle of radius 1 centered at the origin (0, 0). The equation of a unit…