The area of the triangle is expressed as 2.718cm²
<h3>Area of a triangle</h3>
The formula for calculating the area of a triangle is expressed as:
A = 0.5absinФ
- a and b are the sides
- Ф is the angle
Given the following
- p = 2.5 cm
- n = 2.3 cm and;
- ∠O=71°
Substitute the given parameters to have:
Area = 0.5(2.5)(2.3)sin71
Area = 2.718cm²
Hence the area of the triangle is expressed as 2.718cm²
Learn more on area of triangle here: brainly.com/question/17335144
Answer:
Step-by-step explanation:
Triangle HIJ is a right angle triangle.
From the given right angle triangle
IJ represents the hypotenuse of the right angle triangle.
With ∠J as the reference angle,
HJ represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine IJ, we would apply Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 54 = 7/IJ
0.8090 = 7/IJ
IJ = 7/0.8090
IJ = 8.7 to the nearest tenth
The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
3427 + 65.75s = 5000 + 35.5s
65.75s - 35.5s = 5000 - 3427
30.25s = 1573
s = 1573 / 30.25
s = 52 seconds <== they are the same at 52 seconds
3427 + 65.75(52) = 6846
5000 + 35.5(52) = 6846
and their altitude is 6846 <===
