Answer: The height is 4.472
Step-by-step explanation: That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
Answer:
1. x = 1, y = -3
2. x = 3, y = 4
Step-by-step explanation:
Here, we want to solve the sets of simultaneous equations;
a) -y = 5x-2
-3y = -5x + 14
substitute 1 into ii
3(5x-2) = -5x + 14
15x - 6 = -5x + 14
15x + 5x = 14 + 6
20x = 20
x = 20/20
x = 1
from;
-y = 5x - 2
y = -5x + 2
y = -5(1) + 2
y = -3
b) -2y = -6x + 10
2y = x + 5
Substitute ii into i
-(x + 5) = -6x + 10
-x - 5 = -6x + 10
-x + 6x = 10 + 5
5x = 15
x = 15/5
x = 3
2y = x + 5
2y = 3 + 5
2y = 8
y = 8/2
y = 4
Answer:
sum of angles in a triangle = 180°
180-(90+21)
= 69
pls am I correct