Step-by-step explanation: We are given to find the size of SR in the right-angled triangle SRQ as displayed in the figure.

You are watching: What is the length of ? 9 units 12 units 15 units 18 units

Since RT is perpendicular to the hypotenuse SQ, therefore triangle RTQ and SRT are additionally right-angled triangles at edge RTQ and RTS respectively.

Also, RQ = 20 units and TQ = 16 units.

Using Pythagoras organize in triangle RTQ, us have

*

Now, due to the fact that RT is perpendicular to the hypotenuse that ΔRST, so us get

*

Again, utilizing Pythagoras theorem in right-angled triangle RST, we get

*

Thus, the size of SR is 15 units.

Option (C) is CORRECT.

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