Question

1. Find the area of a triangle whose sides are 18
cm, 24 cm and 30 cm.
Also, find the length of altitude corresponding
to the largest side of the triangle.
​

Answer 1

Answer:

Step-by-step explanation:

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