The hypotenuse of a right triangle has length 2√34inches and the sum of the lengths of the legs is 16 inches.

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kevin kevin
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The hypotenuse of a right triangle has length 2√34inches and the sum of the lengths of the legs is 16 inches.

The hypotenuse of a right triangle has length 2√34inches and the sum of the lengths of the legs is 16 inches. What is the area of the triangle?
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Re: The hypotenuse of a right triangle has length 2√34inches and the sum of the lengths of the legs is 16 inches.

You have to get the lengths of the two legs, by using the length of the hypotenuse, to get the area of the triangle.

hypotenuse = 2√34
= √4 √34
= √136

Pythagorean Theorem = a² + b² = c²
a and b are the legs
c is the hypotenuse

Think, what two numbers add together to make 16, but when squared and added together make 136.

10 and 6 are those two numbers

10² + 6² = 100 + 36 = 136

The legs (base and height of triangle) are 10 and 6

base x height
---------------- = area of a triangle
        2

10(6)
-------- = area
   2

60
---- = area
 2

Area = 30 in²

- Algebra House