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Gnesinka [82]
3 years ago
10

[4] what is the largest possible area for a right triangle whose hypotenuse is 5cm long, and what are its dimensions? 25

Mathematics
1 answer:
maria [59]3 years ago
4 0
Let the base and height of the right triangle be b and h respectively.

Then the area of the triangle (which is to be maximized) is

A = bh/2.  Draw the triangle with the right angle positioned at the origin, in the first quadrant.

We are told that the hypotenuse is 5 cm.  Then 

b^2 + h^2 = 25 cm^2 must be true.  Alternatively, b = sqrt(25-h^2).

We want to meximize the area of this triangle.  In other words, maximize

A = (b)(h)/2, or, equivalently, maximize A = [sqrt(25-h^2)](h)/2.

Maximize A by differentiating the above formula for A with respect to h and finding the critical value for h.  Once you have that h value, calculate the corresponding b value and find the max area via    A = bh/2.

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What is the actual area of the plot of land ? Write the area in square feet
AlekseyPX
The area is 645504 square feet
8 0
3 years ago
For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)
valkas [14]

Answer:

a=21.2

n=√29

Step-by-step explanation:

90+68.2+a=180

a+158.2=180

a=21.2

2^2+5^2=n^2

4+25=n^2

n^2=29

n=\sqrt{29}

3 0
2 years ago
HELPPPPPPP!!!!! ASAPPPPPP!!!!
Xelga [282]

Answer: I think your answer would be B

i hope it's right

4 0
3 years ago
Read 2 more answers
PLEASE HELP AND QUICK
3241004551 [841]
I think it is 70 but not sure
8 0
2 years ago
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Phantasy [73]

Answer:

Area = 7.853981 in^2                (2.5 Pi)

Perimeter = 11.42478 in              (3.63Pi)

Step-by-step explanation:

Area

Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2

Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2

added together = 7.853981 in^2

Perimeter

Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in

Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in

added together = 11.42478 in

5 0
3 years ago
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