Answer: 123.6 units²
Step-by-step explanation:
Since it is an isosceles triangle, we can draw a median from the ap ex (b) to the base (ac) to create a right triangle at point (d). Then we can use the Pythagorean Theorem to find the height (bd) of the triangle.
(dc)² + (b d)² = (bc)²
7² + (b d)² = 19²
(b d)² = 19² - 7²
(b d)² = 312
b d = 17.66
A = (1/2) base x height
= (1/2) ac x b d
= (1/2) 14 x (17.66)
= 7(17.66)
= 123.6
