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Since 2.4² + 1.8² = 9, which is the square of the length of side AB, triangle ADB is a right triangle by the Converse of the Pythagorean Theorem. Use the fact that AD + DC = AC to find DC. DC = (Type an integer or a decimal.).

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Since 2.4² + 1.8² = 9, which is the square of the length of side AB, triangle ADB is a right triangle by the Converse of the Pythagorean Theorem. Use the fact that AD + DC = AC to find DC. DC = (Type an integer or a decimal.).

Since 2.4² + 1.8² = 9, which is the square of the length of side AB, triangle ADB is a right triangle by the Converse of the Pythagorean Theorem. Use the fact that AD + DC = AC to find DC. DC = (Type an integer or a decimal.)




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    1. Quizzma Team

      To find the length of DC, we can use the information that in triangle ADB, it is a right triangle with sides in lengths 2.4 and 1.8, which satisfy the Pythagorean theorem as given.

      From the problem, you are stating that AD + DC = AC. If AC is the total length that consists of side AD and side DC, we need to first find the length of AD, which is given as one of the sides, 1.8.

      Now, let’s denote:

      – Length of AD = 1.8

      – Length of AC = unknown (but needs to be calculated first).

      – Length of DC = unknown

      Since AD + DC = AC, we can rewrite this equation as:

      DC = AC – AD

      Next, we need to determine the length of AC. In a right triangle, AC can be found using the Pythagorean theorem. However, it seems that you might already have the total length for AC; if it wasn’t directly provided, you would need to calculate it based on the right triangle dimensions (where AC = AB in this context).

      If AC = 2.4 (the hypotenuse), we have:

      DC = 2.4 – 1.8 = 0.6

      Thus, the answer is:

      DC = 0.6

      This means the length of DC is 0.6 units.

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