Answer:
x = 12 cm and y = 24 cm
Step-by-step explanation:
Three sides of the first triangle are 10 cm, 12 cm and 12 cm.
Three sides of second triangle are 20 cm, 12+x cm and y cm.
As these two triangles are similar, it means,
[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]
So, the value of x is 12 cm and that of y is 24 cm.
