Question

in the diagram the figures are simular, what is x?triangle with 30cm and 13cmtriangle with 24cm and x

Answer 1

If the figures are similar, the proportion between the corresponding sides is the same.

The side of 30 cm corresponds to the side of 24 cm, and the side of 13 cm corresponds to the side of x cm.

So if the proportion is the same, we have that:

`\begin{gathered} (30)/(24)=(13)/(x) \\ 30\cdot x=24\cdot13 \\ x=(24\cdot13)/(30)=(4\cdot13)/(5)=(52)/(5)=10.4 \end{gathered}`

So the value of x is 10.4 cm, therefore the answer is b.