Question

PLEASE HELP ME. I WIL GIVE YOU BRAINLIEST

Answer 1

Answer:

1) Missing Length: 20 m

Equation: $c^2=16^2+12^2$

2) Missing Length: 100√5 mm

Equation: $c^2=100^2+200^2$

Step-by-step explanation:

1) We can use Pythagorean Theorem to solve this triangle and find the length of the hypotenuse.

$c^2=16^2+12^2$

$c^2=256+144$

$c^2=400$

Luckily, 400 is a perfect square :)

$c=20$

So, the length of the hypotenuse is 20 cm.

2) Again, we can use the Pythagorean Theorem to find the missing length.

$c^2=100^2+200^2$

$c^2=10000+40000$

$c^2=50000$

$c=\sqrt{50000}$

But, we can still simplify the radical.

$\sqrt{50000}$

$=100\sqrt{5}$

So, the length of the missing length is 100√5 cm.