How do you find the area of triangle RST given t=15.7, s=15.7, mangleR=98?

1 Answer
CW
Dec 13, 2016

122.05

Explanation:

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Given that RS=RT=15.7, DeltaRST is isosceles.
=> angle RST = angleRTS=(180-98)/2=41
=> h=15.7xxsin41^@=10.30
=> ST=15.7xxcos41xx2=23.70
=> Area = 1/2xxhxxb, where h is the height and b is the base.
=> Area = 1/2xx10.30xx23.70=122.05

Alternatively, you can use the following formula to find the area :

Area = 1/2xxSR^2xxsin(m angleR)
= 1/2xx15.7^2xxsin98^@=122.05

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