A triangle has side lengths of 8 8 inches, 12 12 inches, and 16 16 inches. Determine whether this is a right triangle and why. C
2 answers:
Answer:
It is not a right triangle
Step-by-step explanation:
A triangle has side lengths of 8 inches, 12 inches, and 16 inches.
To determine if it is a Right Triangle, we make use of the Pythagoras Theorem, i.e.
Now the Hypotenuse is always the longest side
The equality above is not true and in fact
Therefore the 3 numbers do not satisfy Pythagoras theorem and cannot be the lengths of a right triangle.
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Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
= 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units
