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madreJ [45]
2 years ago
10

Plz help i have to submit in 20 minutes !!!

Mathematics
1 answer:
amm18122 years ago
8 0

Answer:

Step-by-step explanation:

1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²

       h² = 10² + 24²

       h = √676

       h = 26

 (b). Hypotenuse² = (Leg 1)² + (Leg 2)²

       (25)² = (15)² + (leg 2)²

       Leg 2 = √(625 - 225)

                 = √400

                 = 20

  (c). Hypotenuse² = (Leg 1)² + (Leg 2)²

        h² = 4² + 6²

        h = √(16 + 36)

        h = √52

        h = 2√13

  (d). Hypotenuse² = (Leg 1)² + (Leg 2)²

        (14)² = (Leg 1)² + 7²

         Leg 1 = √(196 - 49)

                   = √147

                   = 7√3

2). Hypotenuse² = (Leg 1)² + (Leg 2)²

    Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]

    h² = 7² + 7²

    h = √98

    h = 7√2

    Option (1) is the correct option.

3). Hypotenuse² = (Leg 1)² + (Leg 2)²

    (26)² = (Leg 1)² + (10)²

    Leg 1 = √(676 - 100) = 24

    Area of a right triangle = \frac{1}{2}(\text{Leg 1})(\text{Leg 2})

                                           = \frac{1}{2}(24)(10)

                                           = 120 square units

     Option (3) is the correct option.

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