Question

The hypotenuse of a right angle triangle is $3$ m more than the smallest leg. If the longer leg measures $6$ m, what is the lengths of the other two sides?

• A. $4.5$ and $7.5$ m
• B. $4.3$ and $8.3$ m
• C. $5.3$ and $7.3$ m
• D. $5.3$ and $6.3$ m

Answer 1

The correct option is A $4.5$ and $7.5$ m

Let $x$ be the length of the small leg, then $x+3$ be the length of the hypotenuse.
Applying Pythagoras theorem,
$6^2+x^2=(x+3{)}^2$
$36+x^2=x^2+6x+9$
$36-9=6x$
$27=6x$
$x=4.5$
The smaller leg $=x=4.5$ m
Hypotenuse $=x+3=4.5+3=7.5$ m