Sheets of canvas have been hung over the waiting lines to provide shade. Each canvas sheet is in the shape of a triangle with si
de lengths of 50 feet, 75 feet, and 75 feet. What is the area of each canvas sheet?
A.2812.5 square feet
B.1875.0 square feet
C.1767.8 square feet
D.530.3 square feet
E.No such triangle is possible.
A.2812.5 square feet
B.1875.0 square feet
C.1767.8 square feet
D.530.3 square feet
E.No such triangle is possible.
1 answer:
Answer:
C.1767.8 square feet
Step-by-step explanation:
use heron's formula to solve (see attached)
perimeter = 50 + 75 + 75 = 200 feet
p = perimeter / 2 = 200/2 = 100
from heron's formula
A = √ [ p(p-a)(p-b)(p-c)]
= √[100 (100-50)(100-75)(100-75) ]
= √[100·50·25·25 ]
=√3,125,000
= 1767.77 (within rounding errors, closest answer is C)
You might be interested in
converted to fraction in lowest terms is
<em><u>Solution:</u></em>
Given that we have to convert to fraction in lowest terms
Let us first convert the mixed fraction
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Therefore,
Now convert 77.5 % to fraction
So we have to convert percentage to fraction
Divide the percentage by 100 to get a decimal number
Use that decimal number as the numerator of a fraction. Put a 1 in the denominator of the fraction
Count the number of places to the right of the decimal. If you have x decimal places then multiply numerator and denominator by
Simplify and reduce the fraction to lowest terms
Thus the given percentage is converted to fraction in lowest terms