In an isosceles triangle ABD: BD – base, AC – height. Find the perimeter of triangle ABD if AD = 3 cm and BC = 2 cm

Given: tr-k ABD – isosceles;
BD – base;

AC – height;

AD = 3 cm;

BC = 2 cm;

PABD -? cm.

PABD = AB + BD + AD;

By service. tr-k ABD – isosceles., so its sides are equal, i.e. AB = AD = 3 cm.

It is also known that AC is the height drawn into the isosceles. treug. to its base, which means it is also the median. Therefore ВС = СВ, follow. BD = 2 * BC = 4 cm.

So PABD = 2 * AD + BD = 2 * 3 + 4 = 10 (cm).