Question

I need help finding the perimeter and area of the triangle using Pythagorean Theorem. please explain how you did it and what you did.
will give brainliest for proper answer.

Answer 1

Good evening ,

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Answer:

*Perimeter = 9+9+12,7=30,7

*Area=40,5

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Step-by-step explanation:

Look at the photo below for the answer.

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Answer 2

Answer:

P ≈ 30.73; A = 40.5

Step-by-step explanation:

A. Perimeter

The perimeter of a triangle is the sum of the lengths of the three sides.

P = AB + AT + BT

AT = x₂ - x₁ =5 - (-4) = 5 + 4 = 9

BT = y₂ - y₁ =5 - (-4) = 5 + 4 = 9

To get AB, we must use the Pythagorean Theorem: the square of the hypotenuse equals the sum of the squares of the other two sides.

AB² = AT² + BT² =9² + 9² = 81 + 81  

AB² = 162

Take the square root of each side of the equation.

AB = √162 ≈12.73

P = 12.73 + 9 + 9 ≈ 30.73

2. Area  

The area of a triangle is one-half the base times the height,

A = ½bh = ½ × AT × BT = ½ × 9 × 9 = 40.5