Answer:
1- 9 yards
2- 5.4 inches
3- 2.6 feet
Step-by-step explanation:
Pythagorean theorem states a²+b²=c², or, side 1 ² + side 2 ² = the hypotenuse, aka the longest side. In right triangles, the hypotenuse is always diagonal to the right angle.
In problem one, the hypotenuse in 15 yds. In problem two, it is ?. In problem three, it is 9ft.
onto the math.
1-
you are missing a side measurement, so you would set up the equation as
12²+b²=15²
simplify what you have to get
144+b²=225
subtract 144 from both sides to get
b²= 81
the square root of 81 is 9, since 9×9=81
so your answer is
9 yards.
2-
This time, you are missing the hypotenuse.
once again, you should fill in what you know.
2²+5²=c²
simplify what you have to get
4+25=c²
add 4 and 25 to get
29=c²
the square root of 29 is a really long decimal, but since the instructions say to round to the nearest tenth, the answer is
5.4 inches.
3-
Just like in problem one, you are missing a side length.
First, fill in what you know.
6²+b²=9²
simplify it down to get
36+b²=81
take 36 from both sides and you get
b²=45
the square root of 45 to the nearest tenth is your answer of
2.6 feet
