Question

Find the height of the triangle if the area is 240.

Answer 1

1/2 X h X base = area
1/2 X h X 20 = 240
h= 24 units according to me hope it helps

Answer 2

(12)² = h² + x²

h² = (12)² - x² →(1)

(16)² = h² + (20-x)²

h² = (16)² - (20-x)² →(2)

(1) = (2)

(12)² - x² = (16)² - (20-x)²

144 - x² = 256 - (400 + x² - 40x)

144 - x² = 256 - 400 - x² + 40x

144 = -144 + 40x

40x = 288

x = 7.2

h² = (12)² - x²

h² = (12)² - (7.2)²

h² = 144 - 51.84

h² = 92.16

h = 9.6