Isosceles 6673

Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.

Correct answer:

x =  2.8284 cm
x₂ =  5.6569 cm

Step-by-step explanation:

$$\begin{gathered} z=4\text{cm} \\ X=45{}^{\circ } \\ x=z/2\cdot \sqrt{2}=4/2\cdot \sqrt{2}=2\sqrt{2}=2.8284\text{cm} \end{gathered}$$

Try calculation via our triangle calculator.

$$\begin{gathered} z_2=8\text{cm} \\ k=z_2/z=8/4=2 \\ {x}_2=x\cdot k=2.8284\cdot 2=4\sqrt{2}=5.6569\text{cm} \end{gathered}$$

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