Answer:
3:2
Step-by-step explanation:
![60 : 40 / 10\\6:4/2\\3:2](https://tex.z-dn.net/?f=60%20%3A%2040%20%20%20%2F%2010%5C%5C6%3A4%2F2%5C%5C3%3A2)
Represent the unknowns.
<span>Let x = length </span>
<span>since the width is 3/4 of the length, </span>
<span>Let (3/4)x = width </span>
<span>Recall that the area of rectangle is just width multiplied by the length, </span>
<span>A = w * l </span>
<span>Substituting, </span>
<span>432 = (3/4)x * x </span>
<span>432 = (3/4)x^2 </span>
<span>432 * 4/3 = x^2 </span>
<span>576 = x^2 </span>
<span>Get the square root of both sides, </span>
<span>x = 24 feet (length) </span>
72 people stayed, because 96 ÷ 4 = 24, and 24 * 3 is 72.
The answer to, Is the Triangle with side lengths of 10 in., 24 in., and 26 in, a right triangle is: Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true. Thus, the triangle is right.
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