# Compute 4

Compute the exact value of the area of the triangle with sides 14 mi, 12 mi, and 12 mi long.

Result

S =  68.228 mi2

#### Solution:

$a=14 \ \text{mi} \ \\ b=12 \ \text{mi} \ \\ c=12 \ \text{mi} \ \\ \ \\ s=\dfrac{ a+b+c }{ 2 }=\dfrac{ 14+12+12 }{ 2 }=19 \ \text{mi} \ \\ \ \\ S=\sqrt{ s \cdot \ (s-a) \cdot \ (s-b) \cdot \ (s-c) }=\sqrt{ 19 \cdot \ (19-14) \cdot \ (19-12) \cdot \ (19-12) } \doteq 7 \ \sqrt{ 95 } \doteq 68.2276 \doteq 68.228 \ \text{mi}^2$

Try calculation via our triangle calculator.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment:
Papá
It made it easier to explain to my 6th grader.  I'm hoping he continues using your service it's explainable and understandable for kids.

Tips to related online calculators
See also our trigonometric triangle calculator.
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
2. Triangular prism
Calculate the surface of a triangular prism 10 cm high, the base of which is a triangle with sides 6 cm 8 cm and 8 cm
3. The farmer
The farmer would like to first seed his small field. The required amount depends on the seed area. Field has a triangular shape. The farmer had fenced field, so he knows the lengths of the sides: 119, 111 and 90 meters. Find a suitable way to determine t
4. Triangle
The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of ​this triangle.
5. Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
6. Triangle
Calculate heights of the triangle ABC if sides of the triangle are a=75, b=84 and c=33.
7. Sails
We known heights 220, 165 and 132 of sail. It has triangular shape. What is the surface of the sail?
8. Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
9. Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 4 cm.
10. Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm and 8 cm. Calculate distance from the center of gravity of the triangle to line p.
11. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
12. Sequence
Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
13. AP - simple
Determine the first nine elements of sequence if a10 = -1 and d = 4
14. Legs
Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
15. Three workshops
There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
16. Elimination method
Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
17. Today in school
There are 9 girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?