In triangle STU, we have ST = SU = 22 and TU = 8. Let M be the midpoint of and N be on such that is an altitude of triangle STU. If and intersect at X, then what is SX?

4√13  

Step-by-step explanation:

1. Calculate the length of SN

Your triangle (below) is a relatively tall isosceles triangle.

∆STN is a right triangle, so we can use Pythagoras theorem to calculate the length of SN.

SN² + NT² = ST²

SN² + 4² =22²

SN² + 16 = 484

SN² = 468

SN = √468 = 6√13

2. Calculate the length of SX

UM and SN are lines from an angle to the centre of the opposite side, so they are medians.

The medians of a triangle meet at a single point, X — the centroid.

Another characteristic is that the centroid divides each median into segments in a 2:1 ratio.

Thus,

SX = ⅔SN = ⅔ × 6√13 = 4√13

salary

step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )