The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side. Find the dimensions of the triangle.

Step-by-step explanation:

Represent:

Given that:

Required

Solve for a, b and c

So, we have:

Subtract 1 from both sides

Apply Pythagoras Theorem

Substitute 3 + 3b for a and 4 + 3b for c

Open brackets

Collect Like Terms

Expand

Factorize:

Split:

But the adjacent of a triangle can't have a negative measurement.

So:

Recall that:

Substitute 7 for b in the above expressions

Hence, the dimensions of the triangle are:

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.