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.
will give brainliest for proper answer.
2 answers:
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.
:)
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
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4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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