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The length of is given by the relationship between the similar triangles
ΔABD and ΔBDC.
= <u>80</u>
Reasons:
The given parameters are;
The altitude of triangle ΔABD =
The hypotenuse of formed right triangle =
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;
Which gives;
=
Therefore;
Which gives;
Learn more about similar triangles here:
