Ask Question
21 June, 06:45

A square is cut into two congruent triangles by drawing the diagonal between two corners. If the area of each triangle is 162 cm, what is the length of the side of the square?

+4
Answers (1)
  1. 21 June, 07:06
    0
    Ok so area=162

    since the triangles sides were cut out of a square, base=height

    area=1/2bh=162

    b=h

    area=1/2b^2=162

    times 2 both sides

    b^2=324

    sqrt both sides

    b=18=h

    the legnth of one side is 18cm

    see diagram

    another way, is total aera of square=areas of both triangles=162+162=324

    remember area of square=side^2 so

    324=side^2

    sqrt both sides

    18=side

    answer is 18cm
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A square is cut into two congruent triangles by drawing the diagonal between two corners. If the area of each triangle is 162 cm, what is ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers