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A ABC is an isosceles triangle. Z A is the vertex angle, AB = 4x – 14

and AC = x + 10. Find the length of one of the legs.
The length of one of the legs is ...

2 Answers

5 votes

Final answer:

The length of one of the legs is 18. An isosceles triangle has any 2 of its sides equal.

Step-by-step explanation:

In an isosceles triangle, the two legs are equal in length. In this case, we need to find the length of one of the legs. Let's set AB and AC as equal:

4x - 14 = x + 10

4x - x = 10 + 14

3x = 24

x = 8

Now, substitute the value of x back into AB or AC to find the length of one of the legs:

AB = 4(8) - 14 = 32 - 14 = 18

The length of one of the legs is 18.

User Sergio Mazzoleni
by
4.7k points
7 votes

Answer:

BC=AB

Step-by-step explanation:

This triangle is isosceles that it means has two equal ribs. BC=AB so BC= 4x-14. I think it is in the right form. It depends on how you named the triangle. The important thing is that two equal ribs are those ribs that are in front not the base.

User TheLibzter
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4.8k points