Question

triangle S and triangle L are scaled copies of one another,what is the scale factor from S to L

Answer 1

The scale factor is 2

L = 2 * S

Answer 2

Area of Triangle

                  $=\frac{1}{2} \times \text{base} \times \text{Height}$    

Area of Smaller Triangle (S)

                        $=\frac{1}{2} \times 2 \times 4=4\text{Square unit}$    

Area of Larger Triangle (L)

                        $=\frac{1}{2} \times 4 \times 8=16\text{Square unit}$  

Scale Factor

       $=\frac{\text{Area of} \Delta L}{\text{Area of} \Delta S}\\\\=\frac{16}{4}\\\\=4$  

⇒Area of Larger Triangle (L)=   4 × Area of Smaller Triangle (S)