Question

What are the perimeter and area of triangle XYZ ?

Answer 1

B) P = 42; A = 84

Explanation:

Perimeter:

You have two right triangles, so you need to find the third side length.

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

`5^(2)` +
`12^(2)` =
`c^(2)`

25 + 144 =
`c^(2)`

169 =
`c^(2)`

`√(169)` =
`\sqrt{c^(2) }`

13 = c

The top right missing outside length is 13

We do the same thing to find the missing bottom outside.

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

`12^(2)` +
`9^(2)` =
`c^(2)`

144 + 81 =
`c^(2)`

225 =
`c^(2)`

`√(225)` =
`\sqrt{c^(2) }`

15 = c

The perimeter of triangle xyz is 5 + 9 + 13 + 15 = 42 units

Area:

a = 1/2 bh

a= 1/2 (5 + 9) (12)

a = 1/2 (14)(12)

a = 84
`units^(2)`

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