Question
Find the area of the following triangle. Round your answers to the nearest tenth. a=4.8in,b=6.3in,c=7.5in Use the paperclip button below to attach files.
Solution
3.3
(262 Votos)
Ana
Mestre · Tutor por 5 anos
Resposta
To find the area of a triangle when all three sides are known, we can use Heron's formula. Heron's formula states that if a triangle has sides of lengths
,
, and
, then the area
of the triangle is given by:
where
is the semi-perimeter of the triangle, calculated as:
Given:
First, calculate the semi-perimeter
:
Next, use Heron's formula to find the area:
Therefore, the area of the triangle is approximately
.