Question

Calculate the area of triangle RST

Answer 1

https://byuis.brainhoney.com/Resource/10035010,817,0/Assets/Media/Images/GEOM043_CSR2-6.jpg

Answer 2

a.121
b.30.25
c.60.5
d.104.8

Answer 3

notice in your triangle you have a 30 degree angle up above
you also have a 90 degree angle at the bottom left

what degree do you think is the other angle to the bottom right?

Answer 4

60 on the right

Answer 5

i tried using the 30 60 90 but i didn't get the answer

Answer 6

hmm, what did you get for the SR side?

Answer 7

using 30-60-90 rule that is

Answer 8

Short Leg(2)= Hyp and Short Leg(sqrt3)=Long Leg

Answer 9

right

Answer 10

and you have the "shortest leg", so you can get the other leg right?

Answer 11

keep in mind that ST = shortest leg = BASE
SR = longer leg = altitude = height

Area of a triangle = \(\bf \cfrac{1}{2}\times base \times height\)

Answer 12

i got 121 sqrt 3

Answer 13

hmmm
\(\bf Area =\cfrac{1}{2}\times base \times height \implies \cfrac{1}{2}\times 11 \times 11\sqrt{3} \implies \cfrac{121\sqrt{3}}{2}\)

Answer 14

60.5?

Answer 15

well, if you want a decimal figure, yes 121/2 = 60.5, you still have a \(\bf \sqrt{3}\) too btw

Answer 16

:( i am lost...

Answer 17

hmm, are you using Internet Explorer? if you don't mind me asking

Answer 18

chrome

Answer 19

ok... so . what ... part did you find confusing?

Answer 20

\(\bf \cfrac{1}{2}\times \color{red}{base} \times \color{blue}{height} \implies \cfrac{1}{2}\times \color{red}{11} \times \color{blue}{11\sqrt{3}} \implies \cfrac{121\sqrt{3}}{2}\)

Answer 21

like we ended up with 2 answers 60.5 and 121 but we also need the sqrt 3 i don't know what's the answer

Answer 22

well, the answer would be \(\bf \cfrac{121\sqrt{3}}{2}\)

Answer 23

so it's 121?

Answer 24

because that's what you'd get from \(\bf \cfrac{1}{2}\times base \times height\)

Answer 25

well, you can leave it as a fraction, or you can use \(\bf \cfrac{121\sqrt{3}}{2}\implies \cfrac{121}{2} \times \sqrt{3}\implies 60.5 \times \sqrt{3}\implies 60.5 \times 1.7320 \approx 10.4789\)

Answer 26

hmm have a typo there one sec

Answer 27

\(\bf \cfrac{121\sqrt{3}}{2}\implies \cfrac{121}{2} \times \sqrt{3}\implies 60.5 \times \sqrt{3}\implies 60.5 \times 1.7320 \approx 104.789\)

Answer 28

okay then the final would be 104.8 (rounded)