For the answer to the question above asking to p<span>rove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle,
</span>A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²)<span> is the longest side and is opposite the right angle.
</span>⇒ α² + β² = c²
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"</span>In any right triangle ( 90° angle) <span>, the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."
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For example: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.
c2 = a2+ b2
c2 = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5
Answer:
26 miles
Step-by-step explanation:
use pythagorean theorem to find that from post office to stevie's is 10 miles long( 6^2 + 8^2=100, and the square root of 100 is 10) then add the total distence together and get 8+8+10=26
<span>Let x = 0.5333333333 ...
So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.
So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.
So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>
Answer:
(15x-2)°+( 7x+4)°=90° --> 15x-2°+7x+4°=90° --> 22x+2°=90° --> 22x=90°-2° --> 22x=88° --> x=88/22 --> x=4.
m/_BAC=(15x-2)°=15×4-2 =58°
m/_CAD=(7x+4)°=7×4+4= 32°.
Answer: 6
Step-by-step explanation:
They are similar triangles so they have proportionality
For the small triangle the side is 2 and the hypoteneuse is 4, for the large triangle the side is 5 so the entire hypoteneuse is 10. 10-4 = 6 which is the missing side
