Answer:
8 ft
Step-by-step explanation:
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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The answer is <span>35.35294</span>
Answer:
LSA = 532 yds ^2
Step-by-step explanation:
We do not add the triangles in because they are the bases and the bases do not get added in the lateral surface areas.
From left to right
Rectangle 1
A = lw = 9.9 *20 =198
Rectangle 2
A = lw = 6.8 *20 =136
Rectangle 3
A = lw = 9.9 *20 =198
Add them together
198+136+198
532
LSA = 532 yds ^2
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
<em>Hope that helped :)</em>
