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?
The triangle with base 8 cm and height 10 cm.
base 8 , height 10
The area (A) of a triangle is found as follows.
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.