Hi im slightly confused on this question
Find the area of the triangle.
Heres the answeres and what I put
I am gonna say the picture. left side is 5.5 m right side is 6.9 m and the bottom of the triangle is 4.2 m
A. 6.5 m2 ********
B.11.5 m2
C. 23.1 m2
B. 4.5 m2
or, use the law of cosines to find angle A, as in
5.5^2 = 6.9^2 + 4.2^2 - 2*6.9*4.2 cosA
A = 52.8°
Now you get
A = 1/2 bc sinA = 1/2 * 6.9 * 4.2 sin52.8° = 11.54
look up Heron's Formula ... finds area using the three side lengths
p = 5.5+6.9+4.2 = 16.6.
A = sqrt( p/2*S1/2*S2/2*S3/2),
Be sure to include parenthesis.
ok thanks oobleck
To find the area of a triangle, you can use the formula:
Area = (base * height) / 2
In this case, the base of the triangle is given as 4.2 m, but the height is not specified. The height is the perpendicular distance from the base to the top vertex (apex) of the triangle.
Since the height is not given, it's difficult to determine the exact area of the triangle. However, we can still compare the given options to see if any of them are reasonable.
Looking at the options presented:
A. 6.5 m²
B. 11.5 m²
C. 23.1 m²
D. 4.5 m²
Based on the dimensions you provided (5.5 m, 6.9 m, and 4.2 m), it is not possible to determine the exact area of the triangle without the height. However, we can perform some calculations to rule out the incorrect options.
Using the formula provided earlier:
Area = (base * height) / 2
If we take the base as 4.2 m, we can calculate the height using the following equation:
Area * 2 = base * height
(4.5 m² * 2) = (4.2 m) * height
9 m² = 4.2 m * height
Dividing both sides of the equation by 4.2 m, we get:
height = 9 m² / 4.2 m
height ≈ 2.14 m
So, with an approximate height of 2.14 m, we can calculate the area of the triangle:
Area ≈ (4.2 m * 2.14 m) / 2
Area ≈ 4.5 m²
Therefore, the closest option is D. 4.5 m². It's important to note that the exact answer, without the height, would be impossible to determine with the given information.