The construction that you can use to prove the Pythagorean
Theorem based on similarity of triangles is 2nd construction. Please see the
attached file.
To add, in mathematics, the Pythagorean theorem, also
known as Pythagoras's theorem, is a fundamental relation in Euclidean
geometry among the three sides of a right triangle. It mentions that the sum of
the squares of the other two sides is equal to the square of the hypotenuse
(the side opposite the right angle).
An angle that measures 1/2 turn is 180 degree angle
Answer:
13.99
Step-by-step explanation:
So the hundredths place is the second digit after the decimal point in this case it is 8.
So the number after it is 9 so we round up.
The number after 8 is 9
So 13.989 to the nearest hundredth place is 13.99
As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
