A Nice trigonometry math question| solve for the area of the triangle| Geometry
A Trigonometry math question solved using the knowledge of Trigonometry and area of triangles. #maths #trigonometry #geometry #area#triangle
AI GeneratedMay contain errors
Video Summary
AI GeneratedThis video provides a step-by-step mathematical guide on how to calculate the area of a right-angled triangle when given its perimeter (48) and one of its angles (30 degrees). The instructor explains the logical approach of using trigonometric ratios to express the side lengths in terms of a single variable to solve for the area.
Welcome back once again to this lovely channel if this is the first time you're joining
You're going to enjoy this, right? Trust me on that. Okay, so the title says that we should find
the area of this right-angled triangle, given that the perimeter is 48 and this angle is 30 degrees
Now what I usually do is try to figure out how to approach my questions, since we are asked to
Find the area, and we are given the perimeter, which means that this perimeter is important.
and very useful for us to use it to get the value of our area now the only way to get perimeter
It is the sum of the external lengths of any figure; so if I say let AC be equal to x, okay.
So and I call this x; if I do, it means that my perimeter is AC plus AB plus BC, that's simply
means I need to get my AB and I need to get my BC, so with these 30 degrees I can get my
ab and bc in terms of x, then I will set it equal to my perimeter to see what I get
Because these are the only details provided to me, that is where we will begin.
So, as I said, let AC be equal to x. All right, all right. Now remember our three basic trigonometric
sine is equal to opposite over hypotenuse