Question

Find the area and length of AD. ​

Answer 1

$\huge\bold\red {answer}$

From the question it is given that,

AB = 5 cm, BC = 13 cm, AC = 12 cm

We know that,

Area of the ΔABC = ½ × base × height

= ½ × AB × AC

= ½ × 5 × 12

= 1 × 5 × 6

= 30 cm2

Now,

Area of ΔABC = ½ × base × height

30 = ½ × AD × BC

30 = ½ × AD × 13

(30 × 2)/13 = AD

AD = 60/13

AD = 4.6 cm

Therefore area of triangle ABC = 30cm^2 and length of AD = 4.6cm