Question

The area of this triangle ?

Answer 1

8 cm

Explanation:

Use pythagorean theorem to find the height (a and b are equal):

`a^2+b^2=16√(2)^2\\a^2+a^2=16√(2)^2\\2a^2=16√(2)^2\\2a^2=16(2)\\a^2=16\\a=√(16)\\a=4`

Area is half of the base times height. Base and height are equal for this triangle.

`(1)/(2)(4)(4)\\(1)/(2)(16)\\8`