Any hint for that one ? I can only calculate the hypothenuse of the white triangle thanks to Pythagoras which gives me the opposite side of the green triangle, and then...
I'm not sure if you are running into a rounding issue or something else.
I first solved like others mentioned by finding the hypotenus (H=L3) and then found the L4 leg by scaling up L1 by the percent that L3 increased compared to L2.
What I drew in the pic is another way to solve using tan(x).
I tried to solve the problem by finding the rectangle first, but I assume some angles to be 45 which might not be correct.
Thank you for sharing your solution! Awesome!
The angles are proportional so the areas are proportional. The ratio of the hypotenuse of the white triangle to its height is the ratio of the areas of both triangles.
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10 : 5 = a : b
b = a / 2
A = a * b / 2 = √125 * √125 / 2 / 2 = 125 / 4 = 31.25
# calculate c
# alpha = arccos(a/c)
# e = a/cos(alpha)
# d = e*sin(alpha)
I first solved like others mentioned by finding the hypotenus (H=L3) and then found the L4 leg by scaling up L1 by the percent that L3 increased compared to L2.
What I drew in the pic is another way to solve using tan(x).
Thank you for sharing your solution! Awesome!
Area=1/2(10*5)*((5^2+10^2)^(1/2))/10
27.95