Check the picture below.
doesn't that make it just a 20 x 14? well, surely you know what that area is.
doesn't that make it just a 20 x 14? well, surely you know what that area is.
Which one would you choose and please solve.....
2 answers:
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A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
