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The height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
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We can draw a right angle triangle to find the hieght of the triangle.
Applying Pythagoras theorem.
Let h be the height:
b² = (a/2)² + h²
5² = (6/2)² + h²
5² = (3)² + h²
h = 4 cm
Thus, the height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.
Learn more about Pythagoras' theorem here:
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