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Sagot :
We have that triangle A has
h = 2.5 cm
b = 1.6 cm
The ratio between its height and base is:
hA / bA = 2.5 cm / 1.6 cm
To be proportional to triangle A, triangle B must have the same ration between height and base:
hB / bB = hA / bA = 2.5 cm /1.6 cm
If we see the options, when hB = 1.25 and bB = 0.8, this is the same ratio as
hA / bA, since hB = (hA / 2), and bB = ( bB = bA / 2) or
hB = (2.5/2) = 1.25
bB = (1.6/2) = 0.8
Therefore, we have:
hA / bA = hB / bB = 2.5 cm /1.6 cm = 1.25 cm / 0.8 cm = 1.5625
Thus, the height and the base of triangle B is h = 1.25 cm and base = 0.8 cm.
(The correct option is D).
The other two options are:
h = 2.75 cm / 1.76 cm = 1.5625 (option A)
h = 2 cm / 1.28 cm = 1.5625
All of these triangles have the same ratio between height and base.
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