Concerning 6294

Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm.

Correct answer:

r₂ =  13.6 cm

Step-by-step explanation:

$$\begin{gathered} r_1=17\text{cm} \\ {z}_1=10\text{cm} \\ {z}_2=8\text{cm} \\ {r}_1:z_1=r_2:z_2 \\ {r}_2=r_1\cdot \frac{z_2}{z_1}=17\cdot \frac{8}{10}=\frac{17\cdot 8}{10}=\frac{136}{10}=\frac{68}{5}\text{cm}=13.6\text{cm} \end{gathered}$$

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