The longest side of a right angled triangle is 125 m and one of the remaining two side is 100m.. find its area

The area of the triangle is 3750 m²

Step-by-step explanation:

∵ The longest side of a right angled triangle is 125 m

∴ the length of the hypotenuse = 125 m

∵ The length of one of the remaining two side is 100 m

∴ b = 100 m

To find the area of the triangle you must find the other side of the right angle

∵ The length of the hypotenuse =

∴ 125 =

- Square the two sides

∴ 15625 = 10000 + h²

- Subtract 10000 from both sides

∴ 5625 = h²

- Take √ for both sides

∴ 75 = h

∴ h = 75 m

∵ A = bh

- Substitute the values of b and h in the formula above

∴ A = (100)(75)

∴ A = 3750

∴ The area of the triangle is 3750 m²

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