Answer: Value of CP = 12 units
Value of CM = 20 units.
Step-by-step explanation:
Since we have given that
Given: ΔACM, and m∠C = 90º and CP⊥ AM and
AC = 15 , AP = 9, PM = 16
Now, we need to find the value of CP and CM,
As we know the formula :
[tex]PM=\frac{CM^2}{AM}\\\\16=\frac{CM^2}{16+9}\\\\16=\frac{CM^2}{25}\\\\16\times 25=CM^2\\\\\sqrt{16\times 25}=CM\\\\4\times 5=CM\\\\20=CM[/tex]
Similarly,
[tex]CP=\frac{AC\times CM}{AM}\\\\CP=\frac{15\times 20}{25}\\\\CP=3\times 4\\\\CP=12[/tex]
Hence, Value of CP = 12 units
Value of CM = 20 units.
