The area of a right angled triangle having base 24 m and hypotenuse 25 m, is _______.
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EXPLANATION.
Area of right angled triangle.
Base = 24 m.
Hypotenuse = 25 m.
As we know that,
Formula of :
Pythagoras theorem.
⇒ H² = P² + B².
Hypotenuse > Perpendicular > Base.
Using this formula in the equation, we get.
⇒ (25)² = p² + (24)².
⇒ 625 = p² + 576.
⇒ 625 - 576 = p².
⇒ p² = 49.
⇒ p = √49.
⇒ p = 7 m.
As we know that,
Area of right angle triangle = 1/2 x base x height.
Area of right angle triangle = 1/2 x 24 x 7.
Area of right angle triangle = 12 x 7 = 84 m².
Option [A] is correct answer.
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