SOLUTION: two right triangles have hypotenuse on the same line. Triangle L has a height of 27 and a base of b. Triangle M has a hight of b and a base of 3 What is the slope of the line?

Question 1030332: two right triangles have hypotenuse on the same line. Triangle L has a height of 27 and a base of b. Triangle M has a hight of b and a base of 3 What is the slope of the line?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
With two triangles possessing
hypotenuses on the same line.
One triangle having height of 27
and a base of 'b'
The other triangle having height
of 'b' and a base of 3.
27/b = b/3
Cross multiply
b^2 = 81
b = √81
b = 9
One triangle will have height 27
and a base of 9 (b)
Slope = 3
The other triangle having a height
of 9 (b) and a base of 3.
Slope = 3
Hope this helps :-)
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