Question

What is the Value of X?

Answer 1

`x=9\ units`

Explanation:

we know that

Triangles BDR and QDC are similar by SAS Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

`(BD)/(QD)=(RD)/(CD)`

substitute the given values

`(64)/(24)=(15+x)/(x)\\ \\ 64x=24(15+x)\\ \\ 64x=360+24x\\ \\ 64x-24x=360\\ \\ 40x=360\\ \\ x=9\ units`