∆ABC is similar to ∆xyz if AC=9cm BC=5cm and YZ=7cm find the length of XZ
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∆ABC is similar to ∆xyz
AC=9cm
BC=5cm
XZ =?
The two triangles ΔABC and ΔXYZ are similar. Consequently:
AB/XY=BC/YZ=AC/XZ [ The side lengths of two similar triangles are ] proportional.
BC/YZ=5/7=AC/XZ=9/XZ
⇒BC/YZ=AC/XZ =5/7 =9/XZ
⇒XZ =9*7/5 cm
⇒XZ =63/5 cm
⇒XZ =12.6 cm Ans
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