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
Answer:
APC is 90 degrees
Step-by-step explanation:
When lines intersect and are perpendicular. that means the angle of intersection is 90 degrees.
APC is 90 degrees
Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions
and
and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
<u>Least Common Denominator:</u>
= 
= 
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8