Nautical flags are used to represent letters of alphabets. the flag for the letter o consists of a yellow right triangle and a red right triangle joined together along their hypotenuse to form a square. the joint hypotenuse of the two triangles is three inches longer than a side of the square. find the length of a side of the flag. round your answer to the nearest tenth.

S = 7.24

Step-by-step explanation:

Attached image.

We can use the pythagorean theorem to solve this. It states

Where

c is the hypotenuse (s + 3)

a and b are th two legs (s each respectively)

So we have:

Since length can't be negative, we take

s = 7.24

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: 177/8

step-by-step explanation: