Question

$\angle B$ in $△ABC$ and $\angle S$ in $△RST$ are right angles. The lengths of sides $AC$ and $RT$ are equal. Determine the relation between the following.

A: The length of side $AB$.

B: The length of side $RS$.

• A. The quantity in statement A is greater than B.
• B. The quantity in statement B is greater than A.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the given information.

Answer 1

Answer: (D)

The relationship cannot be determined from the given information.

In $△ABC$ and $△RST$,

hypt. $AC=$ hypt. $RT$

$\therefore A{C}^2=R{T}^2$

$\therefore {AB}^2+{BC}^2={RS}^2+{ST}^2$.

which does not imply that $AB=RS$.

So, the relationship cannot be determined.