Answer:
The formula for the area of the triangle is: 

When <em>x</em> = 3, the area is 216 square centimeters. 
When <em>x </em>= 2.4, the area is 138.24 square centimeters. 
And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters. 
Step-by-step explanation:
We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>. 
The area of a triangle is given by the formula: 

So, by substitution: 

When <em>x </em>= 3, the area will be: 

And when <em>x</em> = 2.4, the area will be: 

When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm. 
By the Pythagorean Theorem: 

So:

The hypotenuse will be: 
