Answer:
19.81cm^2
Step-by-step explanation:
To solve this, you need to use Heron's formula. Heron's formula solves for the area of a triangle given 3 sides defined as a, b, and c, as well as the perimeter. In this formula, p is half of the perimeter. The formula is:
sqrt(p*(p-a)*(p-b)*(p-c))
Plugging the values into this formula gives 19.81cm^2.
Answer:
36.9°
Step-by-step explanation:
As shown in the diagram attached,
θ is the acute angle formed at the intersection of the diagonals of the rectangle.
From the diagram,
tan(θ/2) = 10/30
tan(θ/2) = 1/3
θ/2 = tan⁻¹(1/3)
θ/2 = 18.43
Therefore,
θ = 18.43×2
θ = 36.87
θ = 36.9°
Hence the acute angle formed is 36.9°
It would be 5 and 6, because consecutive integers follow each other, so twice the sum of 5 and 6 would be 22.