Question

I need help with a geometry question about the length of a median in a triangle.

Answer 1

where is the triangle?

Answer 2

let me attach a photo

Answer 3

there

Answer 4

I am unsure of how to approach this

Answer 5

U know pythagorean theorem?

Answer 6

yes

Answer 7

c^2=a^2+b^2

Answer 8

yes

Answer 9

use it find the base of the triangle

Answer 10

well i already tried that and got 6.4 for the entire base

Answer 11

so do i then divide 6.4 by 2 then Pythagorean theorum again

Answer 12

...

Answer 13

You couldn't get 6.4 for the base, because that's the hypotenuse

Answer 14

(6.4)^2 = (2.2)^2 + x^2
x=6.01

Answer 15

Thats the length of the entire base

Answer 16

Now, divide it by 2 and apply pythagorean theorem

Answer 17

got it?

Answer 18

lemme draw this right side up

Answer 19

let's say that

Answer 20

this is a two stepper.
so \[2.2^2 + (2y)^2 = 6.4^2\]
solve for y
then do
\[2.2^2 +y^2 = x^2\]

Answer 21

It is the distance between the point (0,2.2) and the point (a/2,0)
The distance is d=sqrt(2.2**2+a**2/4)
find a, the base of triangle, by Pythagoras

Answer 22

Thank you everyone, i'm just about to get this and will say what my answer is when i do

Answer 23

okay i got 3.7m, is that more or less right (i rounded a couple of numbers to 1 decimal place).

Answer 24

yes, x= 3.724 to 3 decimal places. Round to the nearest tenth (because the data was given to the nearest tenth, e.g. 6.4 and 2.2)
so
3.7