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PLEASE HELP ME. I WIL GIVE YOU BRAINLIEST

PLEASE HELP ME I WIL GIVE YOU BRAINLIEST class=

Sagot :

EPSTER1

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.

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