Question

There are two triangles. One has a base of 8 cm and a height of 10 cm. The other has a base of 5 cm and a height of 13 cm. Which triangle has a larger area?

Answer 1

The triangle with base 8 cm and height 10 cm.

Explanation:

`Area triangle = 1/2 * base * height`

`triangle_1 area = 1/2 * 8 * 10`
`= 40`

`triangle_2 area = 1/2 * 5 *13`
`= 32.5`

`40>32.5 therefore` Area of first triangle is larger.

Answer 2

base 8 , height 10

Explanation:

The area (A) of a triangle is found as follows.

`color(red)(|bar(ul(color(white)(a/a)color(black)(A=1/2bh)color(white)(a/a)|)))`

where b , is the base and h , the perpendicular height

For b = 8 and h = 10 :`A=1/2xx8xx10=40" square cm"`

For b = 5 and h = 13 :`A=1/2xx5xx13=32.5" square cm"`

Hence the triangle with b = 8 and h = 10 has the larger area.