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Find the area of a triangle ABC when c = 15 m, a = 20 meters, and b = 10 meters.

Respuesta :

Answer:

75

Step-by-step explanation:

10 * 15 / 2

do you have a picture of it so I can see if my answer is correct

The area of triangle is 72.62 square meters.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The sides of triangle are

a = 20 meters, b = 10 meters, c = 15 meters

The formula of area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where

[tex]s=\frac{a+b+c}{2}[/tex]

Now, calculate s as

[tex]s=\frac{20+10+15}{2}[/tex]

⇒ [tex]s=\frac{45}{2}[/tex]

⇒ [tex]s=22.5[/tex]

Thus area of triangle is

⇒ [tex]A=\sqrt{22.5(22.5-20)(22.5-10)(22.5-15)}[/tex]

⇒ [tex]A=\sqrt{22.5(2.5)(-12.5)(-7.5)}[/tex]

⇒ [tex]A=\sqrt{5273.4375}[/tex]

⇒ [tex]A=72.618[/tex] ≈ [tex]72.62[/tex]

Hence we can conclude that the area of triangle is 72.62 square meters.

Learn more about triangles here

https://brainly.com/question/11708636

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