The measure of x from the figures are t(r-h)/h and tr/√r²-h² respectively
Similar shapes
A shape or figure is known to be similar if the measure of their sides is equal.
a) From the given triangle;
r/x+t = h/t
Make x the subject of the formula to have:
h(x+t) = rt
hx + ht = rt
hx = rt - ht
x = t(r-h)/h
Hence the measure of x from the figure is t(r-h)/h
b) From this triangle, the correct ratio will be;
x/t = r/√r²-h²
Cross multiply
x = tr/√r²-h²
Hence the measure of x from the figure is tr/√r²-h²
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