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

Q: The top of the trough with a triangular cross-section is a rectangle 40cm by 100cm and the depth of…

A: Find your answer below

Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

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Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

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Q: Consider a sheet of metal in the form of a right triangle with base 36 inches and height  20 inches.…

A: Consider a sheet of metal in the form of a right triangle with base 36 inches and height 20 inches…

Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

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Q: How many right triangles have a hypotenuse that measures 4x + 5 inches and legs that measure 3x + 13…

A: Given: Hypotenuse of right triangle is 4x+5 inches and legs are 3x+13 inches and x inches. To…

Q: The open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

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Q: A supermarket employee wants to construct an open-top box from a 14 inches by 30 inches piece of…

A: Use the figure to find the length, width and height for the box. So, the length = (30 – 2x) inches.…

Q: A farmer plans to use 180 feet of fencingto enclose a rectangular region, using part of a straight…

A: Given:A farmer plans to use 180 feet of fencing to enclose a rectangular region, using part of a…

Q: A rectangular playing field lies in the interior of an elliptical track that is 40 yards wide and…

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Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side…

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: A rectangular plot of farmland will be bounded on one side by dimensions? river and on the other…

A: We need to find area and dimensions.

Q: In a right triangle the altitude corresponding to the hypotenuse divides the hypotenuse into an 8 cm…

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Q: Find the area of the largest rectangle that can be inscribed ina right triangle with legs of lengths…

A: Let x and y be the length and width of the rectangle that is inscribed in a right triangle. The…

Q: The altitude of a right triangle that meets the hypotenuse at a right angle divides the triangle…

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

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Q: Construct a right triangle having only whole number side lengths whose hypotenuse measures 26…

A: Given: A right triangle having only whole-number side lengths whose hypotenuse measures 26 inches.…

Q: 3. A farmer has 600 feet of fencing and wants to fence off a rectangular pasture with two pens. What…

A: Answer

Q: hat is the area, in square inches, of a regular octagon with 9-inch sides if the distance from the…

A: To find the area of a regular octagon

Q: If area of a rectangular ground is 12500 m^2. Length is 125m. Its perimeter will be ?

A: It is given that,  Area, A=Length ×Breadth=12500 m2 Length, L=125 m Therefore,…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

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Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

A: Let OAB be the right angled triangle where O is origin, A lies on x-axis and B lies on y-axis.…

Q: n aluminum wire with a length of 2m will be cut into two pieces. One of the two pieces will be bent…

A: Given that: Total length of wire = 2m

Q: What is the area of a square with a radius 8 ?

A: Our Aim is to tell the Area of a square inscribed in a circle of radius 8 cm.Since, ABCD is a square…

Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

Q: The U.S Post Office will accept a box for shipping only if the sum of the length and girth (distance…

A:

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: is the length of the hypotenuse of a right triangle with leg lengths of 5in and

A: What is the length of the hypotenuse of a right triangle with leg lengths of 5in and 12in?

Q: A cookie company packages its cookies in rectangular prism boxes designed with square bases that…

A: The volume of the box will be: length × width × height

Q: A condominium is to be be constructed in a rectangular lot with a perimeter of 800 m. What is the…

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Q: if the side length of a square is 0.5 what would the square root of the area be?

A: Sol:-Given length of a square=0.5 In a square, all the length(side) are equal.so, are of a…

Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

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Q: 2. The length of the diagonal of a square is 4 cm shorter than the perimeter of an equilateral…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: Find the area of the largest rectangle that fits into the triangle with sides х — %3D1 ахis, у —…

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Q: A geometry student wants to draw a rectangle inscribed in a semicircle of radius 4. If one side must…

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Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: Trapezoidal  and geometrical area

Q: What is the perfect square larger than 16?

A: This question is based on perfect square . If we consider just larger than 16 then our answer will…

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: Find the area (in cm^2) of the largest rectangle that can be inscribed in a right triangle with legs…

A:

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

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Q: ght triangle is 6 meters longer than the shorter leg while its hypotenuse is 1 meter longer What are…

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Q: A rectangular lot adjacent to a highway is to be enclosed by a fence. If the fencing costs P175 per…

A: Let the length of rectangular lot along the highway be x and bredth be yThen the lenghth other than…

Q: rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths.…

A: Area of rectangle= length×width For the maximum area will occur when the derivative of the area is…

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: 2. A rectangular lot adjacent to a highway is to be enclosed by a fence. If the fencing costs P250…

A: The rectangular plot has length x  and width y cost of the fence is 250(length along highway )…