# The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other. How do you find the area of the triangle?

##### 1 Answer

Dec 27, 2015

Draw a diagram to represent the question:

#### Explanation:

Assuming x represents the length of the first side.

Use pythagorean theorem to solve:

Solve the quadratic equation using the quadratic formula.

At the end, you will get side lengths of #(-14 ± 34) / 4, or -12 and 5

SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.

The formula for area of a right triangle is A =

A =

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