Given:
One of the legs of a right triangle is 9 cm.
The area of the triangle is 225 cm².
To find:
The length of the other leg.
Solution:
The area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
The area of a right triangle is
[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]
Let x be the length of other leg.
[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]
[tex]2\times 225=9x[/tex]
[tex]\dfrac{450}{9}=x[/tex]
[tex]50=x[/tex]
Therefore, the length of the other leg is 50 cm.
