if the area of an isosceles right angled triangle is 32cm2, then the length of longest altitude is equal to
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Isosceles right angled triangle means the base b and the height h are equal.
So area = 1/2 * b * h = 32 cm²
= 1/2 * b² = 32
b = 8 cm, h = 8 cm
Hypotenuse = b√2 cm = 8 √2 cm
Since it is isosceles, and right angled, the median joining the midpoint of hypotenuse and opposite vertex is perpendicular to the hypotenuse.
Length of this altitude = hypotenuse / 2 = 8/√2 cm
Length of the longest altitude = b = h = 8 cm.
So area = 1/2 * b * h = 32 cm²
= 1/2 * b² = 32
b = 8 cm, h = 8 cm
Hypotenuse = b√2 cm = 8 √2 cm
Since it is isosceles, and right angled, the median joining the midpoint of hypotenuse and opposite vertex is perpendicular to the hypotenuse.
Length of this altitude = hypotenuse / 2 = 8/√2 cm
Length of the longest altitude = b = h = 8 cm.
kvnmurty:
:-)
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