Which statement best describes the function represented by the graph??
1 answer:
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You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given , the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Given:
Sum of ages of brother and sister = 15
Product of their ages = 54
To find:
How old is the older one between the two of them?
Solution:
Let x be the age of brother and y be the age of sister.
Sum of ages of brother and sister = 15
...(i)
Product of their ages = 54
[Using (i)]
Splitting the middle term, we get
Using zero product property, we get
If , then using (i), we get
If , then using (i), we get
Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.