Question

the sides s of a quadrilateral taken in order are 15 cm ,14cm ,12 cm and 5 cm . the angle between the last two sides is a right angle. Find the area​

Answer 1

area of quadrilateral is sum of area of triangles 114cm².

Answer 2

Answer:

Step-by-step explanation:

Angle between 12 and 5 is right angle

So diagonal =  √(12²+5²) = √169 = 13

Area of quadrilateral can be found by adding the area of two triangles whose

sides are 5,12,13 and 13,14,15

5,12,13 is a right angled triangle so area = 1/2*5*12=30 cm²

Area of triangle with sides 13,14,15 = √s(s-a)(s-b)(s-c)

s= (13+14+15)/2 =21

Area of triangle with sides 13,14,15 =√21*8*7*6 = √21*21*16 = 84cm²

Area of quadrilateral = 30+84 = 114cm²