Find the perimeter and area of the triangle.

Question

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Question content area top right
Part 1
25 m
24 m
30 m
25 m
Question content area bottom
Part 1
The perimeter
  
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Answer 1

Part 1
The perimeter of a triangle is the sum of the lengths of its sides.
So, the perimeter of this triangle is 25 m + 24 m + 30 m = 79 m.

Part 2
To calculate the area of the triangle, we will use Heron's formula, which is used when we know the sides of a triangle:

Area = √(s(s-a)(s-b)(s-c))

where a, b, and c are the side lengths of the triangle and s is the semiperimeter, calculated as follows:

s = (a + b + c) / 2

In this case, a = 25 m, b = 24 m, and c = 30 m.

First, let's calculate the semiperimeter, s:

s = (25 + 24 + 30) / 2 = 79 / 2 = 39.5

Now we can use Heron's formula to calculate the area:

Area = √(39.5(39.5-25)(39.5-24)(39.5-30))
Area = √(39.5(14.5)(15.5)(9.5))
Area ≈ 360 m²

So, the area of the triangle is approximately 360 square meters.