Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the fig
ure is not drawn to scale.)
1 answer:
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Answer:
It is a square, Hannah is a G.
Step-by-step explanation:
You can plug it in for visual, see attachment. You can see that it is a bit rotated square.
But real proof should be done with the points.
For it to be square all sides need to equal each other.
What's the x distance of M and A?
It is 1-(-5) = 1+5 = 6
What is the x distance of H and T?
It is 0-(-6) = 0+6 = 6
What is the y distance of M and H?
It is 2-(-4) = 2+4 = 6
What is the y distance of A and T?
It is 3-(-3) = 3+3 = 6
All are 6 so all sides are equal so it is a square.
Given:
The graph given passes through two points (0, 2) and (-4, 8).
General Idea:
We can find the slope (m) of a line passing through two points say A and B using the below formula.
Applying the concept:
Slope of the line given using the two points (0, 2) and (-4, 8).
Out of the five options given , we need to check which options have slope as -6/4 or -3/2 by rewriting (if needed) the given to slope intercept form y =mx + b and compare the same.
Conclusion:
Rewriting the first option, the slope is -6/4 as shown below.
Rewriting the fourth option, the slope is -3/2 as show below.
Rewriting the fifth option, the slope is -3/2 as shown below.
Divide by 2 throughout the equation