The hypotension of a 30,60,90degree triangle is 5m.long write a problem real life situation that you can solve using this triangle.
Plss help me I don't I don't understand how to solve 30,60,90 and also 45,45,90 degrees of a triangle
Do you mean the HYPOTENUSE, not the hypotension?
A 5m ladder leaning against a building forms a 30 degree angle with the wall. Find how high it reaches, and how far from the wall its base is.
The 30-60-90 triangle is a special right triangle that has specific ratios between its sides. In this triangle, the hypotenuse is twice the length of the shorter leg, and the longer leg is √3 times the length of the shorter leg.
In the given problem, if the hypotenuse of the 30-60-90 triangle is 5m long, we can determine the lengths of the other sides of the triangle.
1. Shorter leg: Divide the hypotenuse by 2 to find the length of the shorter leg. In this case, 5m / 2 = 2.5m.
2. Longer leg: Multiply the length of the shorter leg by √3 to find the length of the longer leg. In this case, 2.5m * √3 ≈ 4.33m.
Now, let's create a real-life situation that can be solved using a 30-60-90 triangle:
Problem: A ladder is leaning against a wall. The base of the ladder is 3.6m from the wall, and the ladder forms a 30-degree angle with the ground. How tall is the wall?
Solution: We can use the 30-60-90 triangle to solve this problem. The base of the ladder represents the shorter leg, the ladder is the hypotenuse, and the height of the wall represents the longer leg.
1. Given: Base (shorter leg) = 3.6m
2. Find: Height (longer leg)
Using the ratio in a 30-60-90 triangle, we know that the hypotenuse is twice the length of the shorter leg. So, the length of the ladder is 2 * 3.6m = 7.2m.
Now, we can use this triangle to find the height of the wall using the longer leg. Let's say the height of the wall is h:
Shorter leg = 3.6m
Hypotenuse = 7.2m
Longer leg = h
Using the Pythagorean theorem: (shorter leg)^2 + (longer leg)^2 = (hypotenuse)^2
3.6^2 + h^2 = 7.2^2
12.96 + h^2 = 51.84
h^2 = 51.84 - 12.96
h^2 = 38.88
h ≈ √38.88
h ≈ 6.23m
Therefore, the height of the wall is approximately 6.23m.
To solve a 45-45-90 triangle, you use similar principles. In this triangle, both legs are equal in length, and the length of the hypotenuse is √2 times the length of the legs. If you have any specific questions related to the 45-45-90 triangle, feel free to ask!