A right angle has a hypotenuse length of 32 meters. It has one leg with a length of 18 meters. What is the length of the other leg? Express your answer as a square root.

Answer :

Answer:

b^2 = 700

Step-by-step explanation:

Given trignometry question:

  • hypotenuse - 32 meters
  • legs - 18m, x m

To solve this we need to use the pythagorrean theorem, which states that;

[tex]a^2 + b^2 = c^2[/tex]

where:

  • a is 18 meters
  • c which is the hypotenuse is 32 meters
  • b is the unknown lenght of the other leg.

Steps:

  1. Make (b) the subject of formula
    [tex]b^2 = c^2 - a^2[/tex]
  2. Substitute the values listed above previously
    [tex]b^2 = 32^2 - 18^2[/tex]
    [tex]b^2 = 1,024 - 324[/tex]
    [tex]b^2 = 700[/tex]

Therefore, the length of the other leg represented in square root simplifies to:

[tex]\boxed{ \boxed{b^2 = 700}}[/tex]