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12 votes
12 votes
Plz help ASAP!!!!!

1.
The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the triangle? (4 points)
112 units
square root 112 units
130 units
square root 130 units

User Mark Pope
by
3.1k points

1 Answer

18 votes
18 votes

Answer:

Square root 112 units

Explanation:

What's Pythagorean Theorem?

  • Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other legs.
  • It's represented as
    a^2 + b^2 = c^2, where a and b are legs and c is hypotenuse

Let's use Pythagorean Theorem to solve this problem. In this problem we're giving the variables of a and c.


  • 3^2 + b^2 = 11^2

  • 9 + b^2 = 121

Now, we solve for b.

Step 1: Subtract 9 from both sides.


  • 9+b^2-9 = 121 - 9

  • b^2 = 112

Step 2: Take square root of both sides.


  • √(b^2) = √(112)

  • b = √(112)

Therefore, the answer is square root of 12 units.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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