Answer:
Step-by-step explanation:
Step-by-step explanation:
I think you can solve it using Pythagorean theorem.
52 and 81 are sides and hypotenuse is the direct path.
I got 99.64 as an answer so I guess 100 is correct.
In that case it is 37 steps shorter.
P.T is c^2 = a^2 + b^2
20.124
Step-by-step explanation:
remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so
9 x 9 = 81
18 x 18 = 324
324+81 = 405
now you have to sq root it (20.1246)
5x+40 factors to 5(x+8). Notice how distributing the 5 back through to each term in the parenthesis gives
5 times x = 5x
5 times 8 = 40
So 5*(x+8) = 5*x+5*8 = 5x+40
Therefore, the factors are 5 and (x+8).
The dimensions of the sandbox are 5 feet by (x+8) feet.
We don't know the numeric value of (x+8) since we don't know the value of x, so we leave it as is.
<h2>
Similar Triangles</h2>
Similar triangles have the same proportions of sides, but they have different side lengths.
To solve for missing sides in similar triangles, we can set up a proportion.
For instance, let's say that side <em>a</em> in Triangle A corresponds with side <em>b</em> in Triangle B. Let's say that side <em>h</em> in Triangle A also corresponds with side <em>k</em> in Triangle B. Then, it would be true that:
We need to make sure of a couple things:
- The numerators and denominators of fractions are corresponding
- The numerators describe one triangle, and the denominators describe another (can't switch, otherwise the calculations will get messed up)
<h2>Solving the Question</h2>
We're given two triangles (do you see it?).
These two triangles are similar.
We must solve for the length of side BC in Triangle ABC.
- We're given the length of DE, the corresponding side in Triangle ADE.
- We're also given the lengths of bottom sides, 20 units and 30 + 20 = 50 units.
Set up a proportion:
Therefore, the unknown length is 37.5 units.
<h2>Answer</h2>
37.5 units