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:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

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