Question

दी गई आकृति में चतुर्भुज का क्षेत्रफल क्या होगा?​

Answer 1

Answer:

114cm²

Step-by-step explanation:

This can be solved by three ways

best will be either using herons formula or 1/2×b×h

• By herons formula

DC²=BC²+BD² (by Pythagoras theorem)

17²-8²=DB²

289-64=DB²

√225=DB²

DB=15

1. AREA OF ∆BCD

semi perimeter=15+17+8/2= 20

√s(s-a)(s-b)(s-c)

=√20×5×3×12

=60cm²

2. area of ∆ABD

AB = 12 (by Pythagoras theorem)

semi perimeter=12+9+15/2=18

√s(s-a)(s-b)(s-c)

=54cm²

total area= 54+60= 114cm²

• BY CLASSIC FORMULA

AREA OF ∆BCD= 1/2×8×15=60cm²

AREA OF ∆ABD= 1/2×9×12=54cm²

TOTAL AREA = 60+54=114cm²