# 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?

##### 2 Answers

May 6, 2016

The triangle with base 8 cm and height 10 cm.

#### Explanation:

May 6, 2016

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.