What is the area of this triangle?
1 answer:
We can solve for the 3 triangle sides.
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = <span> <span> <span> 8.0622577483 </span> </span> </span>
Third Side² = 7² + 2²
Third Side² = 53
Third Side = <span> <span> <span> 7.2801098893 </span> </span> </span>
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = <span> <span> <span> 21.3423676376 </span> </span> </span>
Semi-Perimeter = <span> <span> <span> 10.6711838188 </span> </span> </span>
Using Heron's Formula
area = square root (<span>10.6711838188 * </span><span>4.6711838188 * </span> <span> <span> <span> 2.6089260705 </span> </span> </span> * <span> <span> <span> 3.3910739295 </span> </span> </span> )
area = square root (441)
area = 21
Yes, it's just that "easy". LOL
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = <span> <span> <span> 8.0622577483 </span> </span> </span>
Third Side² = 7² + 2²
Third Side² = 53
Third Side = <span> <span> <span> 7.2801098893 </span> </span> </span>
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = <span> <span> <span> 21.3423676376 </span> </span> </span>
Semi-Perimeter = <span> <span> <span> 10.6711838188 </span> </span> </span>
Using Heron's Formula
area = square root (<span>10.6711838188 * </span><span>4.6711838188 * </span> <span> <span> <span> 2.6089260705 </span> </span> </span> * <span> <span> <span> 3.3910739295 </span> </span> </span> )
area = square root (441)
area = 21
Yes, it's just that "easy". LOL
You might be interested in