What is the length of BC¯¯¯¯¯ ? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vertex A lies above
side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as 2 x minus 24. The length of side A B is labeled as x minus 2. The length of side B C is labeled as x.
1 answer:
Answer: The length of BC is 22 units.
Explanation:
It is given that the Triangle ABC with horizontal side BC. Vertex A lies above side BC. Angle B and angle C are marked congruent. The length of side AC is labeled as 2x-24. The length of side AB is labeled as x-2. The length of side B C is labeled as x.
If two angles of a triangle are same it means the triangle is an isosceles triangle.
Since the angle B and C are congruent therefore the lines AB and AC are same.
Since the side BC=x therefore the measure of BC is 22 units.
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Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
The perimeter is 96 feet:
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
We can solve for w by plugging the other two values into the last:
Now we can find the length by plugging w into the first equation:
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
So we know our answer's correct