Answer:
1) Missing Length: 20 m
Equation: [tex]c^2=16^2+12^2[/tex]
2) Missing Length: 100√5 mm
Equation: [tex]c^2=100^2+200^2[/tex]
Step-by-step explanation:
1) We can use Pythagorean Theorem to solve this triangle and find the length of the hypotenuse.
[tex]c^2=16^2+12^2[/tex]
[tex]c^2=256+144[/tex]
[tex]c^2=400[/tex]
Luckily, 400 is a perfect square :)
[tex]c=20[/tex]
So, the length of the hypotenuse is 20 cm.
2) Again, we can use the Pythagorean Theorem to find the missing length.
[tex]c^2=100^2+200^2[/tex]
[tex]c^2=10000+40000[/tex]
[tex]c^2=50000[/tex]
[tex]c=\sqrt{50000}[/tex]
But, we can still simplify the radical.
[tex]\sqrt{50000}[/tex]
[tex]=100\sqrt{5}[/tex]
So, the length of the missing length is 100√5 cm.
