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Chapter 8: Q. 24 (page 541)

Find the area of a triangle whose sides are a=4,b=3,c=6.

Short Answer

Expert verified

Required area of the triangle is5.33squareunits.

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=4,b=3,c=6then,s=a+b+c2=4+3+62=132=6.5now,Heron'sformulagivesareaasArea=ss-as-bs-c=6.56.5-46.5-36.5-6=6.5×2.5×3.5×0.5=28.4375=5.3326≈5.33squareunits.

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