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Determine whether the triangle whose len...

Determine whether the triangle whose lengths of sides are `3 cm, 4 cm, 5 cm` is a right-angled triangle.

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To determine whether the triangle with sides of lengths 3 cm, 4 cm, and 5 cm is a right-angled triangle, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. ### Step-by-Step Solution: 1. **Identify the sides of the triangle**: The given sides are 3 cm, 4 cm, and 5 cm. Here, the longest side is 5 cm. 2. **Apply the Pythagorean theorem**: ...
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Knowledge Check

  • What is the area of a triangle whose sides are 3 cm, 5 cm and 4 cm?

    A
    a. `30" cm"^2`
    B
    b. `60" cm"^2`
    C
    c. `20 sqrt(3)" cm"^2`
    D
    d. `20 sqrt(6)" cm"^2`
  • Length of the perpendiculars from a point in the interior of an equilateral triangle on its sides are 3 cm, 4 cm and 5 cm. Area of the triangle is

    A
    `48sqrt(3) cm^(2)`
    B
    `54sqrt(3)cm^(2)`
    C
    `72 sqrt(3)cm^(2)`
    D
    `80sqrt(3)cm^(2)`
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