The formula for the area of a triangle is a = 1 2 bh, in which b represents the length of the base and h represents the height. if a triangle has an area of 138 mm2 and the height is 12 mm, what is the measure of the base?

Area of a triangle = (1/2)(base)(height).

Here,  2(area of triangle) = (base)(height), so base  = 2(area of triangle) / height.

For this particular triangle, the base is 2(138 mm^2) / (12 mm), or base = 23 mm

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.

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