Answer:
<h2>The length of the pieces is 3 inch, 6 inch and 13 inch.</h2>Step-by-step explanation:
Let, the length of the first piece is x inch.
Hence, the length of the second piece is 2x.
It is given that, the length of the third piece is one inch more than four times of the first piece. Hence, the length of the third piece is 4x + 1 inch.
The total length of the steel is 22 inch.
Hence, x + 2x + 4x + 1 = 22
or, 7x = 21
or, x = 3.
The length of the second piece is 6 inch.
The length of the third piece is 13 inch.
Answer:
Step-by-step explanation:
We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to
180 - B - C. Therefore,
angle A = 180 - 11 - 75 so
angle A = 94. And the Law of Sines is
and cross multiply to get
600sin94 = asin11 and solve for a:
gives you that
a = 3136.85
We have to find the perimeter of the triangle KLM.
We have been given that the length of the side LM=12, , and
Refer the attached image.
In a triangle sum of three angles should be .
So,
Plugging the values of angle K and angle M, we get:
So,
Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.
Using the sine law for the triangle KLM, we get:
Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:
Now using,
We get the value of 'y'
So the length of the side KM is 13.38 units.
Now using,
We get the value of 'x'
So the length of the side KL is 9.79 units.
Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.
The perimeter of the triangle KLM units
