In circle p, td¯¯¯¯¯ and tb¯¯¯¯¯ intersect at t. ta=10, tc=8, cd=12, and ab=x+2. find ab. circle p. answer
1 answer:
The answer is AB = 6.
External value x (external value + internal value) =
External value x (external value + internal value) of the other side
Substitute, transpose, and simplify.
TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4
To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6
External value x (external value + internal value) =
External value x (external value + internal value) of the other side
Substitute, transpose, and simplify.
TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4
To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6
You might be interested in
Given:
In an isosceles triangle LMN, LM=MN.
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,
On further simplification, we get
The value of x is 13. Using this value, we get
Similarly,
And,
Therefore, the measure of angles are .