A centroid in a triangle, is the point where all the medians meet.
now a peculiar thing about the centroid is that, it cuts all medians in a 2:1 ratio.
so, if that's true, then the median AE, is being cut in two segments AD and DE and AD : DE are on a 2 : 1 ratio, are they? let's check.
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
Answer:
cos B
Step-by-step explanation:
Let us take a look at angle B
The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25
The relationship between the adjacent and the hypotenuse can be mapped our using the cosine
So, the cosine is the ratio between the adjacent and the hypotenuse
Hence, cos B = 24/25
Answer:
8
Step-by-step explanation:
all sides must be equal since this is a square and since we know the area is 100 then that means both sides will have to add up to 10 because 10 times 10 equals one hundred therefore the answer is 8
Answer:
The slope is -1
Step-by-step explanation:
The slope is always the number in front of the x.