Question

The sides of a triangle are 35 cm 54 cm and 61 cm. The length of its longest altitude

Answer 1

here it is given that the sides of triangle are 35cm 54 cm and 61 cm so by using herons formula we can find the area of the triangle

semi perimeter = a+b+c/2

                         = 35+54+61/2 = 150/2 =75

by herons formula

area of triangle = √s(s-a)(s-b)(s-c) = √75(75-35)(75-54)(75-61)

                                                       =√75×40×21×14

                                                       =√25×3×2×4×5×7×3×7×2

                                                      =5×3×2×2×7√5

                                                      =420√5cm²

also area of triangle = 1/2 ×b×h

                 420√5     =1/2×35×h

                             h    =420 ×2√5/35

                              h    = 24√5

therefore the length of the altitude is 24√5cm

Answer 2

Answer:

therefore the length of the altitude is 24√5cm

Step-by-step explanation: