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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

Sagot :

Renkneeidn

Answer:

Square root 112 units

Step-by-step 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 [tex]a^2 + b^2 = c^2[/tex], 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.

  • [tex]3^2 + b^2 = 11^2[/tex]
  • [tex]9 + b^2 = 121[/tex]

Now, we solve for b.

Step 1: Subtract 9 from both sides.

  • [tex]9+b^2-9 = 121 - 9[/tex]
  • [tex]b^2 = 112[/tex]

Step 2: Take square root of both sides.

  • [tex]\sqrt{b^2} = \sqrt{112}[/tex]
  • [tex]b = \sqrt{112}[/tex]

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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