math

The lower leg of a right triangle is 8 cm in length. Calculate the other two knowing that the sides of the triangle form an arithmetic sequence.

please give me step by step answers thanks

  1. 👍
  2. 👎
  3. 👁
  1. The only right triangle that I know of which has the side lengths form an arithmetic sequence is (3,4,5) or multiples thereof.
    If the 8 cm leg is the shortest side, then we can find the remaining sides by proportions, namely
    8 cm, 8*4/3=32/3, 8*5/3 = 40/3
    If the 8 cm side is the other side, then the sides lengths are 6,8,10.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Intermediate Algebra

    One leg of a right triangle has a length of 5 m. The other sides have lengths that are consecutive integers. Find these lengths. The other leg is ____ m The length of the hypotenuse is ____ m Is my answer correct? The other leg is

  2. Geometry

    An isosceles right triangle has an area of 98cm squared. Find the length of each leg. The formula of finding the area of a triangle with one right angle is: (b x h)/2 You know that an isoceles triangles has two equal sides. Those

  3. Math

    Jeremy loves right triangles that have side length 1. In fact, he loves to combine them so that the hypotenuse of one becomes the leg of the next. If the longer leg of the first triangle is sqrt 11, what will be the hypotenuse of

  4. geometry

    Find the value of x. Round the length to the nearest tenth. Diagram is not drawn to scale. A right triangle is drawn with right angle between a right vertical leg and lower horizontal leg. A dashed line is drawn horizontally from

  1. math

    If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 13 cm, find the length of the longer leg.

  2. Algebra II

    In a right triangle, the length of the longer leg is 7 more inches than the shorter leg. The length of the hypotenuse is 8 more inches than the length of the shorter leg. A). If the shorter leg is representd by x, write

  3. math

    Vista county is setting aside a large parcel of land to preserve it as open space. the county has hired Meghan's surveying firm to survey the parcel which is in the shape of a right triangle. the longer leg of the triangle

  4. math

    5. Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm. 41 cm 841 cm 6 cm 29 cm 6. The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the

  1. Math

    Each triangle is a 30-60-90 triangle, and the hypotenuse of one triangle is the longer leg of an adjacent triangle. The hypotenuse of the largest triangle is 8 centimeters. What is the number of centimeters in the length of the

  2. Algebra

    the longer legs of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more than twice the length of the shorter leg. Find the side lengths of the triangle

  3. Math

    A ramp is built in the shape of a right triangle. The hypotenuse of the ramp is 17 feet and the length of one leg is 8 ft. What is the length of the other leg? 13 ft 12 ft 14 ft 16 ft 15 ft

  4. Algebra

    A lot is in the shape of a right triangle. The shorter leg measures 90 meters. The hypotenuse is 30 meters longer than the length of the longer leg. How long is the longer leg?

You can view more similar questions or ask a new question.