Answer:
12 cm
Step-by-step explanation:
The Pythagorean Theorem is as follows:

A and B represent the side lengths (legs) and C represents the hypotenuse.
The length of one leg equals 5cm. (This can be represented by either a or b)
The hypotenuse equals 13 cm.
Plug these into the equation from above:

Solve for the other leg:
Square what's in the parentheses from above
Subtract 25 from 169
Square root both sides
a = 12 cm
Thus, the length of the other leg is 12 cm.
Let's check our answer:
Square everything
144 + 25 = 169 Add
169 = 169
Because both sides are equal it means that 12 cm is the correct answer.
Hope this helps!!
Answer:
The length of the lights is 2088 inches
Step-by-step explanation:
<em>The question is mixed up with another (See comment for correct question)</em>
Given


Required
The perimeter of the deck (this is what the question implies)
The perimeter (P) is:




One number: x
Its consecutive: x + 1
Product:
x(x+1)=121
x² + x - 121 = 0
Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485
As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
Answer:
1)The slope of the smaller triangle is smaller.
2)The slope of the larger triangle is larger than the slope of the smaller triangle.
3)Tre triangles are congruent
4)The slopes of the two triangles are the same.
5)Line A
<span>3a4y3 − 12a3y2 + 6a2y
=3a^2y (a^2y^2 - 4ay + 2)
answer is </span>3a^2y (a^2y^2 - 4ay + 2) (second choice)