Find the height and area of each of these triangles

area= 1/2*(h*b) h- height, b- base

the triangle is isosceles (denoted by the 2 dashes on the sides of the triangle)

so they are equal in length

angles in triangle = 180

so 38+38=76

180-76=104

base=24

divide the triangle in the center

so now triangle 1(left) the base = 12

and triangle 2(right) the base = 12

use trigonometric ratios

in this we need to find the height

which is opposite of 38,

we already have the adjacent =12

so the ratio is Tan (Tangent Opposite/Adjacent)(TOA)

Tan38= (12/h)

multiply by h

h*Tan38=12

h=12/tan38 = 15.35929959