Question

help please

Answer 1

how much do you know about similar triangles?

Answer 2

not much

Answer 3

if you see..the part of the triangle above the shaded region also forms a smaller triangle..these two triangles are similar..( you can prove that easily once you've learnt about similar triangles)..the property of similar triangles is that the sides of the triangles are in a specific ratio. you can easily find out the ratio...( since the length of the two bases are given). from here try to find out the area of the larger and the subtract from it the area of the smaller triangle. Thats the area of the shaded part

Answer 4

another hint: notice that the smaller triangle is an equilateral triangle, so you know all the sides of the smaller triangle. From there use ratio to find the sides of the larger triangle

Answer 5

wait...you dont even need similar triangles..both are equilateral triangles...sorry

Answer 6

just find the area of the larger triangle and subtract from it the area of the smaller triangle

Answer 7

answer should be around 15.6

Answer 8

but both triangles are the same size

Answer 9

oh really

Answer 10

how come? ..

Answer 11

your portion DECB is shaded...look at the triangles ABC and ADE..dont you think subtracting the area of the two triangles will give you the area of the shaded part?..

Answer 12

yea i guess

Answer 13

so note that ABC and ADE are both equilateral triangles..do you see that in your diagram?

Answer 14

oh yes

Answer 15

now area of a equilateral triangle is (3^1/2)/4*(side)^2...you have the side BC of ABC and the side DE of ADE...so can you find out the two areas?

Answer 16

so 3 x 2 x16 ?

Answer 17

btw it says to round to two decimal places

Answer 18

square root of 3*square of 10 /4 - square root of 3*square of 8 /4..see the formula...

Answer 19

im very confused

Answer 20

which part?

Answer 21

everything

Answer 22

i just dont understand that last part you said

Answer 23

ok dear..are you clear about the two triangles and how you should get the area? or is your confusion over there?

Answer 24

i think so, please do not lose patience with me, ive never done good in math

Answer 25

:)..don't worry dear..ok..do you see your diagram? can you label it like i have done in my diagram?

Answer 26

you mean like ABC and ADE ?

Answer 27

yes :)

Answer 28

oh ok and what after that

Answer 29

can you see the two triangles ABC and ADE?..can you see both are equilateral triangles? thats given in your diagram...see..the sides of ABC are equal and so is of ADE

Answer 30

oh yes i see that, what i dont get is how im going to find the area of the shaded region

Answer 31

can you see that you need to find the area of the portion DECB?

Answer 32

thats the shaded part

Answer 33

oh yes

Answer 34

so the area of the triangle ABC= area of triangle ADE + DECB...is that all right?

Answer 35

can you see that?

Answer 36

so 8 + 10 = 18

Answer 37

no dear..8 and 10 are the sides...we are talking about the area...look area of triangle ABC..thats the bigger triangle = Area of the smaller triangle ADE + Area of the shaded part DECB coz the smaller triangle and the area DECB makes up the larger triangle ABC, can you see that?

Answer 38

can you understand it?

Answer 39

i think so

Answer 40

you are still confused....?

Answer 41

no we can go on

Answer 42

ok..so do you see that ABC and ADE are both equilateral triangles?

Answer 43

yes

Answer 44

do you see that you have the side BC of triangle ABC and DE of triangle ADE

Answer 45

yea i see that

Answer 46

can you find out the area of triangles ABC and ADE?

Answer 47

no that is the confusement

Answer 48

you have a direct formula for that..

Answer 49

area of an equilateral triangle=square root of 3*square of any side / 4

Answer 50

square root of 3 is around 1.73..so area of ABC=1.73*100/4..do u see how..?100 is square of 10

Answer 51

so 1.73 x 100/4 ?

Answer 52

yes thats the area of ABC.. can you find the area of ADE?

Answer 53

so 43.25

Answer 54

yes...now find the area of ADE

Answer 55

is it the same formula

Answer 56

offcourse dear..they both are equilateral triangles..see?

Answer 57

so the same

Answer 58

so whats the area..find it and tell me..

Answer 59

well 1.73 x100/4 equals the same thing as for ADE

Answer 60

baby..the sides of ADE are not 10 do you see that..Its 8..

Answer 61

oh so 1.73 x 8/4 ?

Answer 62

i am very slow as you can tell, i really am this dumb

Answer 63

in math

Answer 64

square of 8 dear..64...and its all right.. u'll be good..just practice

Answer 65

so the shaded region is 64?

Answer 66

no sweetheart..the area of ADE is 1.73*64/4

Answer 67

27.68

Answer 68

ok sweetheart so the area of the shaded part is area of triangle ABC- area of triangle ADE..is it not?

Answer 69

wait what

Answer 70

see the picture..u dont see it?

Answer 71

see what? wow i really admire your patience because i do not even have patience with myself

Answer 72

see the picture...do you see that the area DECB + the area of ADE= Area of ABC
so Area of ABC-Area of ADE= Area of DECB

Answer 73

do u see it baby?

Answer 74

so 43.25 - 27.68 ?

Answer 75

:* you got it

Answer 76

15.57?

Answer 77

my final answer???

Answer 78

yup honey :)

Answer 79

thank you sooo much...umm are you out of time

Answer 80

no dear..

Answer 81

please just one more little one then

Answer 82

ok baby..:)

Answer 83

it says to find the area of the shaded region

Answer 84

this will be a little hard for you..:(

Answer 85

i dont mind

Answer 86

ok baby..o u see the large 12 ft line..its divided into two equal parts..