An equilateral triangle has side lengths of 10 the length of its altitude a is ?
I need help I’m not sure if I’m right or not
- DavidLv 71 month ago
Yes you are right it is option (D) by using Pythagoras' theorem.
- charlatanLv 71 month ago
you are right
- Mike VespaLv 41 month ago
Height of the equilateral triangle is found by taking the length of one side time the square root of 3 and then divide by 2. If you can't do that, then you really need to see your teacher because this is only going to get harder for you.
- LaurieLv 71 month ago
Mentally draw a straight line from the high point of the triangle, straight down to the base. This is the altitude.
This line — we will call side “a” — is also one side of a right triangle. The base of the right triangle, which we will call side “b”, is 1/2 of one side of the equilateral triangle, or 5 units. The hypotenuse — the longest side of the right triangle that we will call side “c” — is the side of the equilateral triangle, or 10 units.
Using the Pythagorean Theorem:
a2 + b2 = c2, where “c” is the hypotenuse.
So... plug in your values for “b” (5) and “c” (10) and solve for “a”. This is the altitude.