Is 144m,165m,219m a right triangle
1 answer:
Answer:
Yes
Step-by-step explanation:
For a triangle to be rights angled.
It should follow Pythagoras theorem.
Pythagoras theorem states that if sides containing right angle is a and b
then is given by
hypotenuse =
As hypotenuse is always the greatest side
Out of the given sides 144m,165m,219m
219 can only be hypotenuse
Thus side containing right angle will be 144m and 165m .
Lets plug these value in formula of Pythagoras theorem
As we can see that hypotenuse calculated by us is same as given in problem.
Thus the given triangle is right angled.
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<h2>Answer:</h2>
y = x + 3
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m =
m =
m =
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = into equation (ii) as follows;
y - 3 = (x - 0)
(iv) Solve for y from (iii)
y - 3 = x
y = x + 3 [This is the slope intercept form of the line]
Where the slope is and the intercept is 3