Solve for the value of s. 58 (s-4)
1 answer:
You might be interested in
Answer:
x equals plus or minus square root of 5 minus 1
Step-by-step explanation:
we have
Divide by 2 the coefficient of the x-term
squared the number
Adds both sides
Rewrite as perfect squares
take the square root both sides
therefore
x equals plus or minus square root of 5 minus 1
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
