Question

Lola and Javier have come to different conclusions about the area of this triangle. Lola believes that the area is 20 cm.2 and Javier believes that the area is 64 cm.2 Who is correct? Defend your answer by working out the area for this triangle and explaining your process

Answer 1

Neither is correct as the correct area of the triangle is
`42\ cm^2`

Explanation:

-This is a right angle triangle whose area is calculated using the formula:

`A=(1)/(2)bh`

Where, b is the base length and h the perpendicular height.

-Given b=6 and h=14, the area is calculated as:

`A=0.5bh\\\\=0.5* 6* 14\\\\=42\ cm^2`

The calculated area of the triangle is
`42\ cm^2`.

Hence, neither of them is correct as both
`20\ cm^2` and
`64\ cm^2` are incorrect area values.