Question

Choose the correct length of $\text{BC}$ in cm from the slider.

• A. 5

Answer 1

The correct option is A 5
Using Pythagoras theorem,

${\text{AB}}^2+{\text{BC}}^2={\text{AC}}^2$
$(\sqrt{75}{)}^2+{\text{BC}}^2={10}^2$
$75+{\text{BC}}^2=100$
$-75=-75$
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$0=25$
${\text{BC}}^2=25$
$\text{BC}=\sqrt{25}=5$
The length of $\text{BC}=5$ cm