Question

50 POINTS !! PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answer 1

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.

$theorem-a^2+b^2=c^2$

$legs-a,b$

$hypotenuse-c$

Now, I will solve for one of the legs.

$a^2+33^2=65^2$

$a^2+1089=4225$

$4225-1089=3136$

$a^2=3136$

$a=56$

Step 3: Mathematics: Conclude

Therefore, the missing side is 56 meters.

Answer 2

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.