Question

How can I find the area of a triangle with 3inches, 5inches, and 4inches?
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Answer 1

Given:

Given that the sides of the triangle are 3 inches, 5 inches and 4 inches.

We need to determine the area of the triangle.

Area of the triangle:

The area of triangle can be determined using the formula,

`A=(1)/(2)bh`

where b is the base of the triangle and h is the height of the triangle.

From the figure, it is obvious that the base of the triangle is 4 inches and the height of the triangle is 3 inches.

Substituting b = 4 and h = 3 in the above formula, we get;

`A=(1)/(2)(4)(3)`

`A=(1)/(2)(12)`

`A=6`

Thus, the area of the triangle is 6 square inches.

Answer 2

Given:

Sides of a triangle are

a = 3 in, b = 4 in and c = 5 in

To find:

The area of the triangle.

Solution:

Using Heron's formula:

`$S=(a+b+c)/(2)`

`$S=(3+4+5)/(2)`

S = 6 in

`A=√(s(s-a)(s-b)(s-c))`

`A=√(6(6-3)(6-4)(6-5))`

`A=√(6(3)(2)(1))`

`A=√(36)`

`A=6` in²

Area of a triangle is 6 in².