CBSE Class 6 Answered

Find the area of quadrilateral ABCD in which AB=29cm,BC=21cm,AC=20cm,CD=34cm and DA=42cm.

Asked by foreverneha6 | 05 May, 2019, 09:55: PM

Expert Answer

T h e r e space a r e space t w o space t r i a n g l e s space i n space t h e space q u a d r i l a t e r a l space A B C D space i. e space A B C space a n d space A D C I n space t r i a n g l e space A B C comma space s e m i p e r i m e t e r space s equals fraction numerator A B plus B C plus A C over denominator 2 end fraction equals 70 over 2 equals 35 B y space H e r o n apostrophe s space f o r m u l a A r e a space o f space triangle A B C equals square root of s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis end root equals square root of 35 left parenthesis 6 right parenthesis left parenthesis 14 right parenthesis left parenthesis 15 right parenthesis end root equals square root of 5 cross times 7 cross times 2 cross times 3 cross times 2 cross times 7 cross times 3 cross times 5 end root equals 5 cross times 7 cross times 2 cross times 3 equals 210 space c m squared S i m i l a r l y comma space i n space triangle A D C comma space s e m i p e r i m e t e r space s equals fraction numerator A D plus C D plus A C over denominator 2 end fraction equals 96 over 2 equals 48 A r e a space o f space triangle A D C equals square root of s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis end root equals square root of 48 left parenthesis 6 right parenthesis left parenthesis 14 right parenthesis left parenthesis 28 right parenthesis end root equals square root of 2 to the power of 4 cross times 3 cross times 2 cross times 3 cross times 2 cross times 7 cross times 2 squared cross times 7 end root equals 2 to the power of 4 cross times 3 cross times 7 equals 336 space c m squared H e n c e comma space A r e a space o f space q u a d r i l a t e r a l space A B C D equals A left parenthesis triangle A B C right parenthesis plus A left parenthesis triangle A D C right parenthesis equals 546 space c m squared

Answered by Renu Varma | 06 May, 2019, 10:26: AM

CBSE Class 6 Answered

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CBSE Class 6 Answered

Concept Videos

Addition of Fractions

Introduction to Integers

Comparing Numbers

Estimating Numbers

Estimating Sum Difference Product

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