Ask Question
27 November, 12:15

The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle has a long leg of 96 units, short leg of 28 units, and the hypotenuse is labeled 6 x plus 28. the smaller triangle has a long leg of 24 units, short leg of 7 units, and hypotenuse of 25 units.

+5
Answers (1)
  1. 27 November, 12:18
    0
    Find the scale factor by dividing the long sides and short side:

    96 / 24 = 4

    28 / 7 = 4

    This means the larger triangle is 4 times bigger than the smaller one.

    Now use that scale factor to calculate the hypotenuse:

    The length of the smaller hypotenuse is 25, scale that by 4 to get 25 * 4 = 100

    This means the larger hypotenuse needs to equal 100:

    6x+28 = 100

    Subtract 28 from each side:

    6x = 72

    Divide both sides by 6:

    x = 72/6

    x = 12
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle has a long ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers