Answer:
√41
Step-by-step explanation:
Top is the formula, and the bottom would be how to plug in the points.
02)a pair of equations is shown below. 3x − y = 9 y = −2x + 11 if the two equations are graphed, at what point do the lines repr
1 answer:
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Answer:
The shortest altitude is 6.72 cm
Step-by-step explanation:
Given that the side lengths are
24 cm, 25 cm, 7 cm
The area of a triangle =
Where;
s = Half the perimeter = (24 + 25 + 7)/2 = 28
A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²
We note that 84/7 = 12
Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7
To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude
Altitude = A/(1/2 ×base)
Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;
We set the base to 25 cm to get;
Area of the triangle A = 1/2 × base × Altitude
84 = 1/2 × 25 × Altitude
Altitude = 84/(1/2 × 25) = 6.72 cm
The shortest altitude = 6.72 cm.
<h2>Answer:</h2><h3>(0,14) and (2,11)</h3><h2>Step-by-step explanation:</h2>
points are on the graph of the line:-
⠀
we get,
⠀
⠀
In,(0,14)
If we put the value ,x=0
y=
So,we get one point,(0,14)✔
In,(2,11)
If we put ,x=2
y=
so,we get another point (2,11)✔
in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀