A tailor used 2 meters of string to make 3 halloween masks. He used _ of a meter for each mask.
1 answer:
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The miles he drove North on Avenue B is 24 miles.
<h3>What is Pythagoras theorem? </h3>According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.
The Pythagoras theorem: a² + b² = c²
Where:
- a = length
- b = base = 7 miles
- c = hypotenuse = 25 miles
25² - 7²
625 - 49 = 576
√576 = 24 miles
Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm
The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm
The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.