The length of the base of an isosceles triangle is x. The length of a leg is 4x-2. The perimeter of the triangle is 122 . Find x
1 answer:
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Answer:
x = 11
Step-by-step explanation:
By using angle bisector theorem,
"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.
8(x - 4) = 4(x + 3)
8x - 32 = 4x + 12
8x - 4x = 32 + 12
4x = 44
x = 11
Therefore, value of x is 11.
<h3>Answer: addition property of inequality</h3>
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Explanation:
These are the steps to focus on
step 3: -6x - 8 < -2
step 4: -6x < 6
The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.
That property has four forms
- If
then
- If
then
- If
then
- If
then
It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c
We add the same thing to both sides to keep things balanced.