Question

A right triangle has one leg that measures 12 inches and a hypotenuse that measures 13

inches.
Enter the area, in square units, of the triangle.

Answer 1

30
`units^(2)`

Explanation:

`a^(2)` +
`b^(2)` =
`c^(2)`

`12^(2)` +
`b^(2)` =
`13^(2)` The hypotenuse needs to be c

144 +
`b^(2)` = 169 Subtract 144 from both sides

`b^(2)` = 25

`\sqrt{b^(2) }` =
`√(25)`

b = 5

Area of a triangle"

a =
`(lw)/(2)`

a =
`(12x5)/(2)`a = 30
`units^(2)`

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