Question

Calculate the area of the triangle whose sides are 18 cm, 24 cm and
30 cm in length. Also, find the length of the altitude corresponding to
the smallest side.​

Answer 1

Answer:

Find the semi-perimeter:

p = (18 + 24 + 30) ÷ 2 = 36 cm

Find the area of the triangle:

area = √p(p-a)(p-b)(p-c)

area = √36(36 - 18)(36 - 24)(26 - 30)

area = √46656

area = 216 cm²

Find the length of the altitude corresponding to the smallest side:

area = 1/2 (base) (height)

216 = 1/2 (18) (height)

216 = 9 height

height = 216 ÷ 9 = 24 cm

Answer: The area is 216 cm² and the corresponding height is 24 cm

Step-by-step explanation: