Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many distinct points must be within the triangle so that, there are at two points whose distance between each other is less than .5 cm apart?

Q: A piece of wood in the form of an isosceles triangle whose base angles measures 55°. If the length…

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Q: 1,86 m 1.2 m 9. 14.7m 13 m

A: A hockey player is 13 m from the close side of the goal net and 14.7 m from the far side ofthe goal…

Q: A triangle has sides with length of 8 M 15 M and 17 M how long would the hypotenuse be

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Q: Given the triangle shown with base b and height h: Assume that b + h = 25; what formula will…

A: Given, base = b Height = h b +h =25  We have to find the area of triangle that will maximize the…

Q: 1. Divide a line that measures 8 cm into five equal parts. 2.

A: Given: Length of line segment is 8 cm. To draw: Five equal parts of the line segment.       Note:…

Q: Use these values: Let the hypotenuse be 70cm, vertical 24.5cm and 65.98cm for the horizontal.  A)…

A: The trigonometric ratio formula will be used for calculating vertical and horizontal leg from the…

Q: Given right triangle ABC with its right angle at vertex C. Let side BC = a, CA b, and AB c. Use…

A: Stewart's theorem provided the relation between the lengths of the sides of a triangle and the…

Q: Three sides of a symmetrical trapezoid are of length 10; the fourth side has length 20. Calculate…

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Q: 15) Consider the parallelogram PQRS. PT = 12 and SQ = 30. What is the length of PR, ST, TR and QT?…

A: The diagonals of a parallelogram bisect each other.

Q: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long.How long is the other diagonal?

A: Explanation: Given a rhombus: Perimeter of Rhombus = 40cmLength of one diagonal = 12cm Formula used:…

Q: In a triangle with sides of lengths a, b, and e and semiperimeter s, show that the length of the…

A: Solution: Consider the given triangle and rheir sides a, b, and c also let semiperimeter s then we…

Q: The sides of an isosceles triangle are 10 and 16 m. (base). What is the length of the equal sides of…

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Q: The ticket at right has a perimeter of 42 cm.    a) Calculate the unknown side length.    A = 42 -…

A: Given perimeter of ticket is    42 cm

Q: This isosceles triangle has two sides of equal length, a, that are longer than the length

A: If isosceles triangle has two sides of equal length means it is isosceles right triangle.

Q: Maciek swims in a 25 m long pool. At one end of the pool the depth is 3 m, and at the other 1.5 m.…

A: Given: Length of  pool BE=25m To find: Capacity of pool

Q: In ATUV, ZT = LU. a) If VT = 7.6 inches and TU = 4.3 inches, find VU. b) If VT = 4x + 1, TU = 2x,…

A: Given data: The length of VT=7.6 in. The length of TU=4.3 in. ∠T=∠U The objective is to find the…

Q: 3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures…

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Q: Parking regulations of a municipality require that each parking space be 3 m wide and 7 m long.…

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Q: Consider an isosceles triangle with base of length 18 and height of length 16. Divide this triangle…

A: We ere given an isosceles triangle with base of length 18 and height of length 16.So, the area of…

Q: 2. Is a triangle that has sides with lengths of 24 kilometers, 45 kilometers, and 51 km, acute,…

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Q: A roof truss is shaped as an isosceles triangle (two "rafter" sides are equal length). If the total…

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