Xanotid
Answered

find the area of a triangle if two sides have lengths 13 and 15 and the altitude to the third side has length 12.

Sagot :

Mlcparra16id
We use Heron's formula

Area of a triangle = √[s(s-a)(s-b)(s-c)]
s=semiperimeter (half of the perimeter)

s = (13+15+12)/2 = 40/2 = 20

Area = √[20(20-13)(20-15)(20-12)] 
= √20(7)(5)(8)
= √2⁵*5²*7
= 20√14

The area is 20√14 sq. units