The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
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Answer:
y=10.1(x)
x=
Step-by-step explanation:
It is said in the problem that y would represent how much money she earns and x represents the number hours she works.
so it also said that the amount of Jessa earns is proportional to the amount of time she works .
finding y will be easy dividing 252.50 by 25 will give you 10.1
so how did we get that equation
y will represent the amount and x will represent the hours
the list S describes all possible outcomes of the event.
the fourth option
two will get choosen, and the order matters.
Answer:
C
Step-by-step explanation:
Because its right
Answer:
Step-by-step explanation:
- -13x < 65
- x > - 65/13
- x > -5
- x = (-5, + oo)
