Question

Which measurement is closest to the shortest distance in miles from Lillys house to the school

Answer 1

Answer : 1.5 mi

To calculate the distance closer to the shortest distance, we will be apply the pythagora's theorem

`\begin{gathered} \text{Pythagora's theorem ; Hypotenus}^2=opposite^2+adjacent^2 \\ \text{Let the hypotenus = x} \\ \text{Opposite side = 0.4 mi} \\ \text{Adjacent side = 1.4 mi} \\ x^2=0.4^2+1.4^2 \\ x^2\text{ = 0.16 + 1.96} \\ x^2\text{ = 2.12} \\ \text{Take the square roots of both sides} \\ \sqrt[]{x^2}\text{ = }\sqrt[]{2.12} \\ x\text{ = }\sqrt[]{2.12} \\ x\text{ = 1.45 mi} \\ \text{ x = 1.5 mi} \end{gathered}`