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In the isosceles right triangle below, AB = 10 feet. What is the length, in feet, of AC? 10' B С ​

In the isosceles right triangle below, AB = 10 feet. What is the length, in feet, of-example-1
User Andre Weinand
by
3.0k points

2 Answers

9 votes
9 votes
3. I’m hoping this is right I tried my best
User Jack Carlisle
by
3.3k points
12 votes
12 votes

Answer:

  • Option C is correct

Explanation:

We know that:

  • In an Isosceles triangle, two sides (Known as legs) are the same length.
  • AB = 10 feet.

Let's solve this with the help of Pythagoras theorem.

  • h² = 10² + 10²
  • => h² = 100 + 100
  • => h² = 200
  • => √h² = √200
  • => h = √200
  • => h = √100 x 2
  • => h = 10√2

Looking at the options, Option C is correct because 10√2 is equal to √200.

Hoped this helped.


BrainiacUser1357

User Prjndhi
by
2.3k points
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