escribblings
New member
- Joined
- Jan 25, 2015
- Messages
- 8
Assuming a right triangle of any size where we know the all lengths and angles.
If we draw a line parallel to the hypotenuse, where the only measurement we know is the distance between the hypotenuse and the new line.
Assuming this new line extends to the x and y axis and therefore making a larger version of the original triangle, how can we find the new lengths of all 3 sides?
For example,
I have a triangle with a base of 120cm and angles of 15°, 75° and 90°
That gives a height for side a of 32.154cm and a hypotenuse of 124.233cm.
Our new line, parallel to the hypotenuse, is spaced 10cm from the hypotenuse (outside the triangle) and its ends extend to meet the x and y axis of the original triangle and so therefore having the same angles.
How do I now find the new height for side A?
If we draw a line parallel to the hypotenuse, where the only measurement we know is the distance between the hypotenuse and the new line.
Assuming this new line extends to the x and y axis and therefore making a larger version of the original triangle, how can we find the new lengths of all 3 sides?
For example,
I have a triangle with a base of 120cm and angles of 15°, 75° and 90°
That gives a height for side a of 32.154cm and a hypotenuse of 124.233cm.
Our new line, parallel to the hypotenuse, is spaced 10cm from the hypotenuse (outside the triangle) and its ends extend to meet the x and y axis of the original triangle and so therefore having the same angles.
How do I now find the new height for side A?