in a triangle one side is 16 cm and the other are in the ratio 3:5 find the LEngth of the sides
Answers
subscribe my YouTube channel please mere YouTube channel me Shivam rdx naam ka logo laga hoga please subscribe Kar dijiye
Answer:
Two sides of a triangle are in the ratio of 3:5
Let us assume that units are centimetres. 3cm and 5 cm are not actual measurements, we need a ratio constant to multiply the numbers in the ratio to get the original measurements. Let the ratio be x. If ‘x’ equals one the measurements will be 3 cm and 5 cm. Sum of these sides should be greater than the third side. 'x' cannot be one or two if it is one, sum of the sides will be 8 and if 'x' equals 2 sum will be 16. 'x' should be more than 2 for the triangle to have an area. 'x' can have any value greater than 2, since there is no upper limit for 'x' there is no limit for area of the triangle. As x tends to infinity area also tends infinity.
Answer:
Two sides of a triangle are in ratio 3:5 and third side is 16. What is the largest possible area of this triangle?
Power to create from anywhere.
Two sides of a triangle are in the ratio of 3:5
Let us assume that units are centimetres. 3 cm and 5 cm are not actual measurements, we need a ratio constant to multiply the numbers in the ratio to get the original measurements. Let the ratio be x. If ‘x’ equals one the measurements will be 3 cm and 5 cm. Sum of these sides should be greater than the third side. 'x' cannot be one or two if it is one, sum of the sides will be 8 and if 'x' equals 2 sum will be 16. 'x' should be more than 2 for the triangle to have an area.
but there is an upper limit too . It is such that the sum of 16 and the other number should be more than the 3rd number .
ex : if you take x= 10,the sides of the triangles will be 30,50,16
here sum of 2 sides (16+30) is less than 3rd side (50).
so by trail and error we find that maximum value of x = 7.
The sides are 21,35,16
you can find the area using herons formula
the maximum area is 100.
The sides of a triangle are 10m and 20m and its area is 80 sq. What is the third side of triangle?
What is the area of a triangle if the ratio of its angle is 5:3:1, and the largest side is 5 cm?
Among all triangles that have 2 sides a, which has the largest area?
If two sides of a triangle are 3 and 5 , in what interval can we have the third side?
Two sides of a triangle are 2 and 3 inches. What is the third side if the triangle has maximum surface area?
Two sides of a triangle are in the ratio of 3:5
Let us assume that units are centimetres. 3cm and 5 cm are not actual measurements, we need a ratio constant to multiply the numbers in the ratio to get the original measurements. Let the ratio be x. If ‘x’ equals one the measurements will be 3 cm and 5 cm. Sum of these sides should be greater than the third side. 'x' cannot be one or two if it is one, sum of the sides will be 8 and if 'x' equals 2 sum will be 16. 'x' should be more than 2 for the triangle to have an area. 'x' can have any value greater than 2, since there is no upper limit for 'x
Gifting Days starts today!
Let sides be 3k, 5k.and 16
s = 4k+8
s-a = k+8
s-b = -k+8
s-16 = 4k-8
A sq = (4k+8) (4k-8) (8+k)(8-k)
= (16ksq-64) (64-ksq)……1
= -16 (ksq-4) (ksq-64)
= -16( k^4 -68ksq+256)
A' = -16 ( 4k cube -136k)
At maxima, this is 0
So 4k ( ksq - 34 ) = 0
Or k = √34
From 1, Asq = (480) * (30) = 16*9 *100
Hence, Amax = 120
And sides of this largest possible triangle are
3√34, 5√34, 16