Question

The areas of two similar triangles are 121 cm2 and 64cm? respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other triangle is O 11cm O 8.8 cm O 11.1 cm 0 8.1 cm​

Answer 1

Answer:

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Step-by-step explanation:

so let the median of first triangle be m1 and that of other triangle similar to the first one be m2

so we know that

if the two triangles are similar then the ratios of their areas is the the ratio of square of their corresponding medians,sides,altitudes,etc

thus then

area of first triangle/area of second triangle=m1 square/m2 square

ie 121/64=(12.1)square/m2 square

taking square roots on both sides we get

11/8=12.1/m2

ie 1/8=1.1/m2

so m2=8.8 cm

thus the length of median of second triangle is 8.8 cm

so option b is correct