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.
Answer:
256 in²
Step-by-step explanation:
Answer:
The value is 50.6cm
Step-by-step explanation:
In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.
32.2/46.2 = x/72.6
Now cross multiply to solve
72.6*32.2 = 46.2*x
2337.72 = 46.2x
50.6 = x