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Chapter 8: Q. 17 (page 556)

The area of the triangle shown below is 546square units; find the lengths of the sides.

Short Answer

Expert verified

The value ofx is1.74.

Step by step solution

01

Step 1. Given Information

The given image is

02

Step 2. Find the expression of area

  • The semiperimeter of the triangle is 5x+6x+7x2=9x.
  • So, the area of the triangle isA=9x×5x×6x×7x=3x2210.
03

Step 3. Find x

  • Equate the given area and the obtained expression and solve to find the value of x.

3x2210=546x2=5463210=1835x≈1.744

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