Question

*The length of the congruent sides of an isosceles triangle is 17cm. If the base of the triangle is 16 cm, find the length of the median.​

Answer 1

Step-by-step explanation:

Let AB=AC=13 cm & BC=10 cm in isosceles ΔABC then the length of perpendicular say AD, drawn from the vertex A to mid-point D of the base BC, is given by using Pythagorean theorem

AD=AC2−BD2−−−−−−−−−−√=132−52−−−−−−−√=144−−−√=12

Since the altitude AD joins the vertex A to the mid-point D of base BC of ΔABC hence AD is also a median which is divided by the centroid G in a ratio AG:GD::2:1 . Now, the distance between vertex A & the centroid G of ΔABC

=23AD

=23⋅12

=8 cm