Find the maximal area of a right triangle with hypotenuse of length 5.

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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…

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A: We will find required as shown below

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A: Solution:- calculate the value of base by using pythagores therorm.

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A: Given: AF=4, AD=5, and DF=3. AC= (4-h) and DE= (3-w) Therefore,

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Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

A: let the length of rectangle is l and width is bthen perimeter (P)=2(l+b)sol+b=P2or l=P2-b

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Q: Find the maximal area of a right triangle with hypotenuse of length 3.

A: Please refer the attached image for complete solution.

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A: Given: Formula used: The area of a rectangle is length * width.

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Q: Find the maximal area of a right triangle with hypotenuse of length 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Let, ABC be the right angled triangle with ∠C=90°, as shown in figure with rectangle DEFC…

Q: 2. Show that of all rectangles with diagonal of length c, the square has the largest area.

A: All rectangles with diagonal of length c, the square has the largest area.

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A: Given:     Hypotheses length = 1

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A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

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Q: 4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.

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A: From above fig we have to prove a2+b2=c2

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