Answer:
The length of the missing leg is 56 meters.
Step-by-step explanation:
Use the Pythagorean theorem to figure out the leg of the missing leg.
Formula: a^2+b^2=c^2, given a=leg, b=leg, and c=hypotenuse
The hypotenuse is 65 meters, and one of the legs is 33 meters, so plug it into the formula and solve for a.
a^2+33^2=65^2
a^2+1089=4225
a^2=3136
Take the square root of both sides, and you get 56 meters.
Answer:
a = 56.
Step-by-step explanation:
Step 1: Mathematics: Define and explain.
In order to find the missing side of a right triangle, you must use the Pythagorean Theorem.
This theorem states that the legs of a triangle, squared, must equal the hypotenuse, squared.
The legs of the triangle are the sides that form the right angle. Which in this case, are 33 m and 'a.'
The hypotenuse is the longest side, which in this case, is 65 m.
Step 2: Mathematics: Solve.
[tex]theorem-a^2+b^2=c^2[/tex]
[tex]legs-a,b[/tex]
[tex]hypotenuse-c[/tex]
Now, I will solve for one of the legs.
[tex]a^2+33^2=65^2[/tex]
[tex]a^2+1089=4225[/tex]
[tex]4225-1089=3136[/tex]
[tex]a^2=3136\\[/tex]
[tex]a=56[/tex]
Step 3: Mathematics: Conclude
Therefore, the missing side is 56 meters.
