Similar Triangle Construction

In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5.

Final Answer:

a₁ =  5 cm
c₁ =  10 cm
A₁ =  30 °

Step-by-step explanation:

$$\begin{gathered} c=20\text{cm} \\ a=10\text{cm} \\ A=30{}^{\circ } \\ k=0.5 \\ {a}_1=a\cdot k=10\cdot 0.5=5\text{cm} \end{gathered}$$

$c_1=c\cdot k=20\cdot 0.5=10\text{cm}$

$A_1=A=30=30^{\circ }$

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