Question

Please help with my math!!

Answer 1

Option A (You chose it right)

Explanation:

Base of triangle =
`((√(2))/(2) + (√(2))/(2))` units

Since the two fractions have the same denominator, the resulting simplified fraction will have the same denominator and everything written in the numerator level will be copied down as it is:

=
`(√(2) + √(2))/(2)`

=
`(2√(2))/(2)`

=
`√(2)` units

Area:

Area of a triangle =
`(1)/(2)` × base of triangle × perpendicular height

=
`(1)/(2)` × (
`√(2)` units) × (
`(√(3))/(2)` units)

= (
`(√(2))/(2)` ×
`(√(3))/(2)`) square units

∴ Area
`= (√(6))/(4)` square units

Perimeter:

It is the sum of all the outer sides (or outer boundaries) of the triangle:

Perimeter = Base of triangle + first slanted height + second slanted height

=
`(√(2) + √(2) + √(2))` units

`= 3√(2)` units

∴ Option A