It can be worked if the triangle on the left is isosceles, like this:If it's the first case, we draw the height, h, or altitude (in green), and dividing the 8 base into two segments 4 each In either case we use the Pythagorean theorem to get the height h 4˛ + h˛ = 10˛ 8˛ + h˛ = 10˛ 16 + h˛ = 100 64 + h˛ = 100 h˛ = 84 h˛ = 36 h = √84 h = √36 h = √4*21 h = 6 h = 2√21 The formula for the area of a triangle is A = base×height We have the base in both cases as 8+15 or 23. The case on the left is A = (23)2√21 = 23√21 = 105.4 square meters, approximately On the right, A = (23)(6) = 69 square meters Edwin