IXL - Area of a triangle: Heron's formula (Precalculus practice)

Find the area of

△

38 in

24 in

22 in

Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Learn with an example

question

Find the area of

△

33 km

47 km

22 km

Write your answer as an integer or as a decimal rounded to the nearest tenth.

key idea

Heron's formula is:

Area of

△

(

–

)

(

–

)

(

–

)

where

and

are the side lengths of

△

and

solution

You know all three side lengths. Calculate

then use Heron's

formula.

102

Area

Heron's formula

(

–

)

(

–

)

(

–

)

Heron's formula

(

–

)

(

–

)

(

–

)

106,488

326.3249…

To the nearest tenth, the area of

△

is 326.3 square kilometers.

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