it's C, assuming x always has the same value
<span>42 in is 3/4th of 56 in. </span>
<span>3/4th of 24 in. is 18 in. </span>
<span>The length of his friend's shadow at the same time is </span>
<span>b.) 18 in.</span>
3x + 1 - 8x +12 =
so 8x - 3x =5x
1 + 12= 13
so answer is 5x+13
The answer you are looking for is B. 7, 24, 25.
To find this, you could use Pythagorean Theorem (a^2 + b^2 = c^2). C is the hypotenuse, or the longest side (25 in this case). So you'd do 7^2 + 24^2 = 25^2. Solving for each would give you 49 + 576 = 625. Adding the left side, gives you 625 = 625. Thus probing, this is a right triangle.
I hope this helps!
<h3>
Answers:</h3>
14. Each leg is
units long.
15 (a). The longer leg is
units long
15 (b). The hypotenuse is
units long
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Explanations:
For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say
where x is the leg and y is the hypotenuse
Let's solve for x

Now plug in the given hypotenuse y = 42, this leads to,

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For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.
The longer leg is equal to sqrt(3) times the short leg. The longer leg is 