Use Heron's formula to find the area of a triangle of lengths 4,5 and 6.
Verify the following :
(i) 37×(56+1213)=(37×56)+(37×1213) (ii) −154×(37+−125)=(−154×37)+(−154×−125) (iii) (−83+−1312)×56=(−83×56)+(−1312×56) (iv) −167×(−89+−76)=(−167×−89)+(−167×−76)
Re-arrange suitably and find the sum in each of the following :
(i)1112+−173+112+−252
(ii)−67+−56+−49+−157
(iii)35+73+95+−1315+−73
(iv) 413+−58+−813+913
(v)23+−45+13+25
(vi) 18+512+27+712+97+−516