Question

Find the area of parallelogram whose sides are 13 cm and 14 cm and diagonal is 15 CM

Answer 1

Answer:

168 cm²

Step-by-step explanation:

We know that the diagonal of a parallelogram divides it into two congruent triangles. Also, congruent triangles hae equal areas.

So, Area of parallelogram = 2(Area of triangle made by two adjacent sides and diagonal).

Given sides = (a) 13 cm and (b) 14 cm and Diagonal = (c) 15 cm.

So, Semiperimeter (s) = (a+b+c)/2 = (13+14+15)/2 = (42)/2 = 21 cm

So, Area of triangle by heron's formula

$= \sqrt{s(s-a)(s-b)(s-c)}\\\\= \sqrt{21(21-13)(21-14)(21-15)}\\\\= \sqrt{3 \times 7 \times 2 \times 2 \times 2 \times 7 \times 2 \times 3}\\\\= 2 \times 2 \times 3 \times 7\\\\= \bold{84 \: cm^2}$

Thus, Area of parallelogram = 2*84 = 168 cm²

Answer 2

Answer:

helpful answer

All the best