1. 
, then 
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that 
.
4. This ratio is equivalent to 
.
5. 
, then 
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that 
.
8. This ratio is equivalent to 
.
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since 
you have 
.
To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:
The diagonal <em>c</em> separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem
a²+b²=c² ← Since this is a square, a=b is a must
a²+a²=c² ← Combine like terms, and plug 26 in for c
2a²= 26² ← 26²=676, then divide 2 on both sides
a²= 676/2
a²=338 ← We can just stop here! Since <em>a </em>is a side of the square, therefore the area of a square = a²
Answer: 338 units²
Answer:
1. 8,400
2. 3,600
3. 1,500
Step-by-step explanation:
multiply the weeks by the number of cars first, and then times it by the amount of money per car
(weeks×cars per week) money per car
Answer:
Step-by-step explanation:
x y
3 1
3 2
3 3
No this is not a function x values can only have 1 y associated with them.
