In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.
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Answer:15 cm
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The length of the altitude to the base is 15 cm.
Given data :
Length of a leg = 17 cm
Base = 16 cm
The altitude to the base divides the triangle into two right angle triangle.
Of one of these right angle triangles,
Base = 16/2 = 8 cm
Height = altitude = let , x cm
Hypotenuse = 17 cm
According to the Pythagoras theorem,
8² + x² = 17²
64 + x² = 289
x² = 289-64
x² = 225
x = 15 (answer)
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