the sum and difference of two sides of a triangle is 52 cm and 8cm if the third side of - Maths - Heron\s Formula

Question

the sum and difference of two sides of a triangle is 52 cm and 8cm
if the third side of the triangle is 36 cm find the area of the
triangle

Roopam Pandey · Accepted Answer

Dear student,

Let the sides be a, b and cc=36 cmgiven a+b=52            
(1)a-b=8            
(2)adding (1) and (2)2a=60a=30cmthe from (2)b=22 cms=a+b+c2=30+22+362=44 cmUsing Herons formula area =ss-as-bs-c        =44×44-3044-2244-36        =44×14×22×8        =4×11×2×7×2×11×8        =8×11×7×2×11×8        =8814cm2          ans
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the sum and difference of two sides of a triangle is 52 cm and 8cm if the third side of the triangle is 36 cm find the area of the triangle