We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1
in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2
in the triangle QTR
TQ²=TR²+36-----------> equation 3
<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
TS=6√6 units
the answer is
TS=6√6 units
<span>6 is the square root of 6 units</span>
Answer:
V≈6031.86in³
Step-by-step explanation:
lmn if you need a explanation
Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
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The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice
Answer:
dont take my word for it but
Step-by-step explanation:
x<-7
Answer:
644ft^2
Step-by-step explanation:
Area of triangle=1/2bh
Area of square=l*l
so we have;
4 triangles with a base of 14ft and height of 16ft and 1 square with l=14ft
AreaTriangle=1/2(14ft)(16ft)=112ft*4=448ft^2
AreaSquare=14ft*14ft=196ft^2
Area Total=448ft+196ft=644ft^2
