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: 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: 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: Given that α = 64◦ and c = 14.3cm in triangle ∆ABC with a right angle at vertex C, approximate the…

A: The sine rule says that asinα=bsinβ=csinγ, where a, b and c are the sides and α,β and γ are the…

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: What are the angles of a triangle having sides of length 6 ft, 4 ft and 5ft?

A: The given sides of the triangles area=6 ftb =4 ftc = 5 ft

Q: triangle has sides of length 10 cm and 15 cm. The parimeter of the triangle must be between what two…

A: We have to find perimeter

Q: The sides of an equilateral triangle is 12 cm long 1. How long is the altitude of the triangle 2.…

A: Equilateral triangle

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: Jackie has a piece of wire 18 in. long. She wants to bend this into a triangle similar to a whose…

A: The objective of this question is to find the dimensions of a triangle that Jackie can form using a…

Q: 12.) Given a square has a perimeter of 50 centimeters, what is the area of the square?

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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: d) If a 6 foot tall ladder is leaning against a wall forming a 40 degree angle with the ground. How…

A: We are given with the word problem

Q: An equilateral triangle has how many congruent sides

A: An equilateral triangle has how many congruent sides

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…