If the length of AO is double the length of CO, the length of BO is?
1 answer:
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
You might be interested in
Literal equation:
we know that
literal equation is equation of more one variable
for example:
And we can solve such equations only if we are given two such equation
because it has two variables
One variable equation:
such equation has single variables
for example:
we don't need any other equation
we can solve for variables from single equation itself
because it has only one variable that is x