find the length of Red line.
Please solve it and answer me.
Answers
Given : an isosceles right angle triangle . Altitude and median from two different point intersecting
To find : Length of Red line
Solution:
this is an isosceles right angle triangle Hence perpendicular to hypotenuse is also median
Hence here are two median intersecting
Median intersects in 2 : 1 ratio
hence length of red line = (2/3) Perpendicular on hypotenuse
Hypotenuse = √x² + x² = x√2
half of hypotenuse = x√2/2 = x/√2
Median length which is altitude too = √ (x² - (x/√2)² = x/√2
Length of red line = (2/3) x/√2
= √2 x/3
√2 x/3 is the length of Red Line
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