Form a sequence that has two arithmetic means between -13 and 89.
2 answers:
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1. Construct a circle of arbitrary radius (r₁) with center at point P (blue circle)
2. Mark the points of intersection of the circle with the line AB (points E and D)
3. Construct two circles of identical radii (r₂) with centers at points E and D (green and red circles). Notice: r₂ > r₁
4. Draw a segment through the intersection points of the green and red circles.
2. Mark the points of intersection of the circle with the line AB (points E and D)
3. Construct two circles of identical radii (r₂) with centers at points E and D (green and red circles). Notice: r₂ > r₁
4. Draw a segment through the intersection points of the green and red circles.
Given:
FG=5x+2
GH=3x-1
FG=9
Let us draw the line segment as follows,
Equating the length of FG, we get,
Substitute the value of x in the given value of GH,
And the total length FH is,
Hence, the lengths are,
