Sides of a triangle 5,5,8 Find the height drawn to the smaller side.

1. The sides of the triangle AB, BC, AC are 5 cm, 5 cm 8 cm, respectively. P – 1/2 of the perimeter.

ВН – height (drawn to the AB side).

2. We calculate the area of the triangle according to the formula of Heron’s theorem:

S = √P (P – AB) (P – BC) (P – AC).

P = (5 + 5 + 8) / 2 = 9 cm.

S = √9 x 4 x 4 x 1 = 12 cm².

3. S can be calculated using another formula:

S = AB / 2 x BH = 12 cm².

BH = S: AB / 2 = 12: 2.5 = 4.8 cm.

Answer: the height of the VN, drawn to one of the smaller sides, is 4.8 cm.