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Chapter 8: Q. 22 (page 541)

Find the area of a triangle whose sides area=3,b=3,c=2.

Short Answer

Expert verified

Required area of the triangle is2.83squareunits.

Step by step solution

01

Step 1. Given information

The area of a triangle with sides a, b, and c is determined by the Heron's formula which is given as:

Area=ss-as-bs-cwhere,s=a+b+c2

02

Step 2. Calculation

Given,a=3,b=3,c=2then,s=a+b+c2=3+3+22=82=4Now,Area=ss-as-bs-c=44-34-34-2=4×1×1×2=8=2.828≈2.83squareunits.

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