Heron’s formula: area  use the triangle pictured to calculate the following measurements.  perimeter: p = ? answer ⇒ 30 units semiperimeter: s = ? answer ⇒ 15 units area: a ≈? answer ⇒ 39.7 square units

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Triangle is attached below

The triangle is 12 by 10 by 8

Perimeter:

To find perimeter we add all the sides of the triangle

Perimeter P = 12 + 10 + 8 = 30 units

Semi perimeter:

Semi perimeter is half of its perimeter

We know P = 30

Semi perimeter s= = = 15 units

Area:

If we know the sides of the triangle then we use Heron's formula to find the area of the triangle

Where s= semi perimeter

a,b,c are the sides of the triangle

s= 15 units

a= 12 units

b= 10 units

c= 8 units

A= 39.7 square units

x = 3 ± √(5+y)