I hope this helps you
12/12+x=13/13+26
12/12+x=13/39
12/12+x=1/3
12+x=36
x=24
Area of a triangle=bh/2
27= x(x-3)/2
27= (x^2-3x)/2
54= x^2-3x
x^2-3x-54=0
(x-9)(x+6)=0
x=9, x=-6.
In this case, x must equal 9 since the base cannot be a negative number.
Final answer: Height=6 m
Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
3/5 divided by 1/3 is 9/5 or 1 4/5
Therefore the answer is 1 and 4/5
