Question

The area of a triangle whose sides are 15cm, 25cm, 14cm: A. 20√26 cm² B. 18√26 cm² C. 17√23 cm² D. 15√29 cm²​

Answer 1

Answer:

B) The area of a triangle whose sides are 15cm, 25cm, 14cm is 18  √26

Step-by-step explanation:

Given:

The sides of the triangle

a = 15 cm, b=  25 cm, and c= 14 cm

Formula :

Half perimeter  (s) = $\frac{a+ b + c}{2} =\frac{15 + 25 + 14}{2} =\frac{54}{2} = 27 cm$

Area of triangle √ s(s-a) (s - b) (s -c)

= √ 27 (27 -15)(27 -25)(27 - 14)

= √ 27  x 12  x 2  x 13

√9x   3 x   4 x   2 x   13

= 3 x   3 x   2 x  √ 2 x   13

= 18  √26