The path between three landmarks in a national park form a right triangle. The oldest living evergreen tree is at point A, the
ranger station is at point B, and the natural hotspring is at point C. The right angle is at point C, and there is a 60degrees angle at point B. If the distance between the hotspring and the evergreen tree is 601 yards, find the distance, x, from the hotspring to the ranger station.
1 answer:
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From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
<em>Additional comment:-</em>
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
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