Answer:
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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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If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:
x+y+z= 22
y is shorter than x by 5 inches so y= x-5
z is longer than y by 2 inches therefore z= x-5 +2
therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
replace x in y and z in previous formations
x+y+z= 22
y is shorter than x by 5 inches so y= x-5
z is longer than y by 2 inches therefore z= x-5 +2
therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
replace x in y and z in previous formations