Mathematics, 07.10.2019 04:30 jmcartwright00

The perimeter of a triangle is 547.2 feet and the sides are in the ratio of 42: 45: 27. find the area of the triangle.

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Answer from: aakakaa

The answer is 12,782.5 feet².

The perimeter is the sum of all sides of a polygon. The perimeter (P) of the triangle is:
P = a + b + c

It is given:
P = 547.2 = a + b + c
a : b : c = 42 : 45 : 27

Let's assume that sides are as the ratio:
a1 = 42, b1 = 45, c1 = 27
The perimeter will be: P1 = 42 + 45 + 27 = 114 feet

Now let's see how many times our triangle is bigger that this supposed one:
P ÷ P1 = 547.2 ÷ 114 = 4.8

This means that sides are 4.8 times bigger:
a = 42 · 4.8 = 201.6 feet
b = 45 · 4.8 = 216 feet
c = 27 · 4.8 = 129.6 feet

Let's just check it out: P = 201.6 + 216 + 129.6 = 547.2 feet

Now, let's calculate the area of the triangle using the Heron's formula:
A = √(s(s - a)(s - b)(s - c))
s = (a + b + c)/2 = P/2 = 547.2/2 = 273.6 feet

A =√(273.6 · (273.6 - 201.6) · (273.6 - 216) · (273.6 - 129.6))
= √(273.6 · 72 · 57.6 · 144) = √163,369,044.5 = 12,782.5 feet²

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

B-simple yes/no questions

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