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Is there a triangle with one side 11 cm another side one-fifth the perimeter and the third side one-fourth the perimeter?
Let the perimeter of the triangle be ( P ). The sides can be represented as follows: one side is 11 cm, the second side is ( \frac{P}{5} ), and the third side is ( \frac{P}{4} ). The perimeter can be expressed as:
[ P = 11 + \frac{P}{5} + \frac{P}{4} ]
Multiplying through by 20 to eliminate the fractions gives:
[ 20P = 220 + 4P + 5P \implies 20P = 220 + 9P \implies 11P = 220 \implies P = 20 ]
Thus, the sides are 11 cm, 4 cm, and 5 cm. These satisfy the triangle inequality (11 < 4 + 5 is false), so no triangle can be formed.
What else can I help you with?
How do you find Ares and perimeter on a tringle?
-- Area of a triangle = 1/2 of (length of the base times height) -- Perimeter of a triangle = (length of one side) + (length of another side) + (length of last side)
How do you calculate the perimeter of a triangle?
-- Measure or calculate the length of one side. -- Measure or calculate the length of another side. -- Measure or calculate the length of the only remaining side. -- Add the three numbers. The sum is the perimeter of the triangle.
How do you figure out the perimeter of an triangle when you only have a measurement for the hypotenuse?
It is impossible. You need another measurement, such as angle, side length or area etc.
What is the perimeter of a triangle when an angle of 57 degrees is opposite a side of14.5cm and another angle is 71 degrees?
Using the sine rule in trigonometry its other sides are 13.62cm and 16.35cm both rounded to two decimal places therefore it follows that the perimeter of the triangle is 14.5cm+13.62xm+16.35cm = 44.47cm
How do you draw a triangle with a perimeter of 12cm and area of 6cm2?
It will be a right angle triangle with a base of 3cm, a height of 4cm and a hypotenuse of 5cm
How do you find the perimeter of a scalene triangle?
-- Find the length of one side. -- Find the length of another side. -- Find the length of the remaining side. -- Add the three numbers. -- Their sum is the perimeter of the scalene triangle.
How do you find Ares and perimeter on a tringle?
-- Area of a triangle = 1/2 of (length of the base times height) -- Perimeter of a triangle = (length of one side) + (length of another side) + (length of last side)
How do you calculate the perimeter of a triangle?
-- Measure or calculate the length of one side. -- Measure or calculate the length of another side. -- Measure or calculate the length of the only remaining side. -- Add the three numbers. The sum is the perimeter of the triangle.
How do you find the length of third side of a triangle given two sides and permeter of the triangle?
Subtract the two side lengths from the perimeter. The perimeter of a triangle is just the length of the 3 sides added together. Eg. Q: A triangle has a perimeter of 20 m. One side is 5m and another is 10m. How long is the 3rd side? A: Perimeter - side 1 - side 2 = side 3 Side 3 = 20 - 5 - 10 = 5 m
What is the perimeter of a triangle when side 14.5cm is opposite angle 57 degrees and has another angle of 71 degrees?
Using the trigonometry sine rule the other sides of the triangle are 16.35cm and 13.62cm so it follows that its perimeter is 14.5+16.35+13.62 = 44.47cm
How do you figure out the perimeter of an triangle when you only have a measurement for the hypotenuse?
It is impossible. You need another measurement, such as angle, side length or area etc.
How do you calculate perimeter of a triangle?
-- Measure or calculate the length of one side. -- Measure or calculate the length of another side. -- Measure or calculate the length of the only remaining side. -- Add the three numbers. The sum is the perimeter of the triangle. ----------------------------------- The perimeter is the sum of all three sides. Sometimes it is unnecessary to compute each side length; all we care about is the sum.
What is the perimeter of a triangle when an angle of 57 degrees is opposite a side of14.5cm and another angle is 71 degrees?
Using the sine rule in trigonometry its other sides are 13.62cm and 16.35cm both rounded to two decimal places therefore it follows that the perimeter of the triangle is 14.5cm+13.62xm+16.35cm = 44.47cm
How do you draw a triangle with a perimeter of 12cm and area of 6cm2?
It will be a right angle triangle with a base of 3cm, a height of 4cm and a hypotenuse of 5cm
What is the perimeter of a triangle when side 14.5cm is opposite angle 57 degrees which has another angle of 71degrees?
The 3rd angle must be 52 degrees and so by using the sine rule in trigonometry its other sides are 16.35cm and 13.62cm both rounded to two decimal places. Therefore the perimeter of the triangle is: 14.5+16.35+13.62 = 44.47cm
What is the area and perimeter of a scalene triangle when angle 75 degrees is opposite to side 25cm with another angle of 42 degrees?
Using the sine rule in trigonometry its area is 192.885 square cm and its perimeter is 65.379 cm both rounded to three decimal places.
The circle has a circumference of 1 Cm and the equilateral triangle has sides each 1 Cm long How many complete turns of the circle will it take to go around the triangle to its original starting posit?
The triangle has a perimeter of 3 cm. If the circle rolls along a straight line of length 3 cm without slipping, it would need to make three complete turns. The perimeter of the triangle also makes another turn (sum of external angles = 360), so the circle will need to make 4 turns in all.
