Answer:
This is the length of the leg of the second triangle = 13.6 cm
Step-by-step explanation:
Since two isosceles triangles have congruent base angles. So Triangle - 1 is similar to triangle - 2.
So ratio of length to base of first triangle is equal to the second triangle.
⇒ [tex]\frac{l_{1} }{b_{1} } = \frac{l_{2} }{b_{2} }[/tex] --------- (1)
Given that
⇒ [tex]l_{1} = 17 cm , \ b_{1} = 10 cm , \ b_{2} = 8 cm[/tex]
Put all these values in equation (1) we get
⇒ [tex]\frac{17}{10} = \frac{l_{2} }{8}[/tex]
⇒ [tex]l_{2} = 13.6 cm[/tex]
This is the length of the leg of the second triangle.
