Question

what value of x will make △onm similar to △srq by the sas similarity theorem? 16 20 25 50

Explanation:

Step1: Apply SAS similarity theorem

For \(\triangle ONM\sim\triangle SRQ\) by SAS similarity theorem, \(\frac{NM}{RQ}=\frac{OM}{SQ}\). Here \(NM = 10\), \(OM = 8\), \(SQ=20\), and \(RQ=x\).
So, \(\frac{10}{x}=\frac{8}{20}\).

Step2: Cross - multiply

Cross - multiplying gives \(8x=10\times20\).

Step3: Solve for \(x\)

\(8x = 200\), then \(x=\frac{200}{8}=25\).

Answer:

25