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Chapter 8: Q. 19 (page 541)

Find the area of a triangle whose sides area=12,b=13,c=5.

Short Answer

Expert verified

Required area of the triangle is 30 square units.

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=s(s-a)s-bs-c

where, s=a+b+c2

02

Step 2. Calculation

Given,

a=12,b=13,c=5Then,s=a+b+c2=12+13+52=15Now,Heron'sFormulagivesareaasArea=ss-as-bs-c=1515-1215-1315-5=15脳3脳2脳10=900=30squareunits

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