Answer: 21, 28
Step-by-step explanation:
- Side #1 = x
- Side #2 = x + 7
- Hypotenuse = 35
Use the Pythagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]:
Substitute in the values & solve:
[tex]x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21[/tex]
-28 is not a possible solution since you can't have negative inches...
- a = x = 21
- b = x + 7 = 21 + 7 = 28
- c = 35
