Answer:
Step-by-step explanation:
Equilateral triangle has equal sides, let the side be , then the perimeter is
Therefore:
To find the altitude , we will apply Pythagoras theorem , that is
Therefore:
take the square root of both sides
In triangle ∆PQR, C is the centroid.
1 answer:
Refer to the redrawn figure below.
Because C is the centroid,
PZ = ZR; QY = YR; and PX = XQ.
Part a.
If CY = 10, then PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answer:
PC = 20
PY = 30
Part b.
If QC = 10, then ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answer:
ZC = 5
ZQ = 15
Part c.
Given: PX = 20.
Because the median bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer:
PQ = 40
Because C is the centroid,
PZ = ZR; QY = YR; and PX = XQ.
Part a.
If CY = 10, then PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answer:
PC = 20
PY = 30
Part b.
If QC = 10, then ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answer:
ZC = 5
ZQ = 15
Part c.
Given: PX = 20.
Because the median bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer:
PQ = 40
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