Find the diameter of the largest circular pond that

Ответ:

ellie55991

11.03.2022

The diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), & (27,-18) is 34.5m.

Explanation:

Let the vertices of the triangle are A(18,54), B(-27,36), & C(27,-18).

Use distance formula to find the length of sides.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above formula the distance between AB is 48.5, BC is 76.4 and AC is 72.6.

The length of sides are 48.5, 76.4 and 72.6.

Formula to find semi-perimeter is given below,

$s=\frac{a+b+c}{2}$

Where a, b and c are the length of sides.

$s=\frac{48.5+76.4+72.6}{2}$

s=98.75

The formula to find the radius of the circle pond in the triangle is given below,

$r=\sqrt{\frac{(s-a)(s-b)(s-c)}{s}}$

$r=\sqrt{\frac{(98.75-76.4)(98.75-72.6)(98.75-48.5)}{98.75} }$

$r=\sqrt{297.4}$

r=17.25

The radius of the circle is 17.25 m.

D=2r

D=2(17.25)

D=34.5

Therefore, the diameter of circle is 34.5 m.

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wwesuplexcity28

07.04.2022

In 1 minute, bison runs 3520 feet

In 60 minutes, the bison would run

3520*60 feet

211200 feet per hour.

These are equivalent to;

40 miles per hour since 1 mile is equivalent to 5280 feet.

The bison is faster by 10 miles per hour

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