Question

In the rectangular solid shown in figure, calculate the length of diagonal $\overline{BE}$, to the nearest tenth.

• A. $7.07$
• B. $8.6$
• C. $10$
• D. $13.60$

Answer 1

Answer: (B)

$8.6$

From the given figure, we can write

$AE=\sqrt{3^2+4^2}$

$=\sqrt{9+16}$

$=\sqrt{25}=5$
$\therefore BE=\sqrt{{BA}^2+{AE}^2}$

$=\sqrt{7^2+5^2}$

$=\sqrt{49+25}=\sqrt{74}$

$=8.6$