Could I please get help with my last statements reasoning? I have tried multiple reasons but still could not get the reasoning r
ight
1 answer:
You have the next:
Side AB is congruent with side CD
Side AC is congruent with side AC
Angle BAC is congruent with angle DCA
SAS congruence of triangles: If any two sides and included angle (angle between those sides) of one triangle are equal to corresponding two sides and included angle of second triangle, then the two triangles are condruent by SAS rule
Angle BAC is the included angle of sides AB and AC in triangle ABC
Angle DCA is the included angle of sides CD and AC in triangle CDA
Then,
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Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.
PR =
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
