Answer:
Notice how the 3 is put into fraction form 3/1. This allows you to multiply numerators for the product numerator and denominators for the product denominator.
Step-by-step explanation:
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.
We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)
Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}
Way 1:
a triangle with sides 3,4,5 will make a triangle. because this isn't 3,4,5 triangle it wont work.
way 2:
By using Heron's formula you can find the area of the flower bed.
<span>s=(a+b+c) ÷2
</span><span>Area =√s(s-a)(s-b)(s-c)
</span>so, 3+4+8= 15
15÷2 =7.5
√7.5(7.5-3)(7.5-4)(<span>7.5-8)
</span>Now because 7.5-8 gives you a negative number and you can't have a negative number under a square root unless you want to use an imaginary number, it won't form a triangle.
5+6 is 11 and 11-9 is 2
and also
6-9 is -3 and -3+5 is 2
so it is 2
Ok me pls thank you so much you are a heavenly angel
