A straight wire 50 cm long is bent into the shape of an L. What is the shortest possible distance between the two ends of the bent wire?

Q: A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimter of the…

A: Given that a right triangle has a base of 24 cm and a height of 16 cm.Our Aim is to find the…

Q: A triangle has two sides of length 18 and 13. What is the largest possible whole-number length for…

A: To find the largest possible whole number length for the third side.

Q: What is the largest possible area of a right triangle whose hypotenuse is 5 cm long?

A: according to question,  hypotenuse of a right triangle is 5 cm let the base be b=x and perpendicular…

Q: A triangle has two sides of length 14 and 20. What is the largest possible whole- number length for…

A:

Q: Two chords of a circle measuring 40 m and 68 m are perpendicular to each other. If the 68-m chord…

A: Topic - circles

Q: For a paraboloid with two sheets, how do you find the shortest distance between the sheets in a…

A:

Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r=14

A: We will find required as shown below

Q: A triangle has two sides of length 19 and 19. What is the largest possible whole- number length for…

A:

Q: Given a circular cylinder with radius of 8 inches and height of 20 inches, which of the following is…

A: The answer is oval  see the reason below

Q: An isosceles right triangle has legs of length 6. What is the length of the altitude drawn to the…

A:

Q: What is the length of the shortest altitude in a triangle, if the lengths of the sides are: 15 cm,…

A: What we can know before we start to calculate, is that the shortest altitude must be from the corner…

Q: A straight wire 50cm long is bent into the shape of an L.  What is the shortest possible distance…

A: Suppose the wire bent into the shape of  L  be the right triangle ∆PQR with QR=x cm,  PQ=50-x cm By…

Q: A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

A: Given:A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

Q: A triangle has two sides of length 18 and 20. What is the largest possible whole-number length for…

A: Given : The length of the sides are 18 and 20

Q: gutter with a trapezoidal cross-section is to be made from a long strip of metal 22 cm wide by…

A:

Q: This is a right triangle with dimensions in centimeters. If θ = 41∘, what is the length of x to the…

A: Given: A right angle triangle with the length of hypotenuse 33 cm and θ=41°. Aim: To find the…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

Q: In a certain isosceles right triangle, the altitude to the hypotenuse has length 4sqrt2. What is the…

A:

Q: An isosceles triange is to be drawn with its two equal sides of length 10. What is the maximum…

A: Let the third side is of the length x. From the property of the triangle, if AB = AC then BM = MC =…

Q: A triangle has two sides of length 8 and 15. What is the largest possible whole-number length for…

A: The sum of any two sides of a triangle is always greater than the other side.

Q: A triangle has two sides of length 1 and 5. What is the largest possible whole-number length for the…

A: Solve the triangle

Q: Both legs of a right triangle have length 7. What is the length of the hypotenuse?

A:

Q: A triangle has two sides of length 16 and 12. What is the largest possible whole-number length for…

A:

Q: How many right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x - 5…

A: Given as the right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x…

Q: 3x-1 v | Y 3x + 7 8x

A: Using trapezoid midsegment formula

Q: A point moves outside an equilateral triangle of side 5 cm such that its distance from the triangle…

A: Given:             Equilateral triangle of side 5 cm such that the point moves at a distance of…

Q: What is the distance in cm between two vertices of a cube which are farthest from each other if the…

A: We need to find the distance between  two vertices of a cube which are farthest from each  other if…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

A:

Q: If the legs of a right triangle have lengths 8 and 15 respectively, find the length of the…

A: Given,           The legs of a right triangle have lengths 8 and 15 respectively.

Q: A fence 4 ft tall runs parallel to a tall building at a distance of 2 ft from the building. What is…

A: According to the given problemL = Total length of the ladder ACh = vertical height of the ladder ABx…

Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

A: The base area of the given square pyramid is 100 square inches. Then the side of the base of the…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

A:

Q: The legs of a right triangle are 4 cm and 8 cm long. What is the lengthof the median to the…

A: Given: The legs of a right triangle are 4 cm and 8 cm.  To find the length of the median to the…

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its…

A: We know that in isosceles triangle median through vertex on base is perpendicular to base, and it…

Q: A satellite, located 2400 km above Earth’s surface, is in circular orbit around the earth. If it…

A:

Q: Suppose that we are given a cube with edges 12 centimeters in length. Find the length of a diagonal…

A: The length of a cube l=12 cm. The breadth of a cube b=12 cm. The height of a cube h=12 cm. Consider…

Q: A triangle has two sides of length 4 and 19 What is the largest possible whole-number length for the…

A: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater…

Q: 2 ends

A:

Q: he corners of a 2-meter square are cut off to form a regular octagon. What is the length of the…

A: Given : The corners of a 2-meter square are cut off to form a regular octagon.   To find the…

Q: 1. Construct a segment whose length is twice the length of MN.

A:

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: We will find the shortest length of fence.

Q: The owner of a ranch has 1,000 yards of fencing material with which to enclose a rectangular piece…

A:

Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

Q: A triangle has two sides of length 11 and 5. What is the largest possible whole-number length for…

A:

Q: What is the approximate length of line segment AB

A:

Q: What is the height of the isosceles triangle with the greatest area that can be inscribed in a…

A: In order to solve the given question first we need to find a function in terms of a variable and…

Q: Consider a right triangle whose hypotenuse has a length of 53 in. If one leg is 17 in longer than…

A: Given: Length of 53 in One leg is 17 in