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*
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