In rectangle ABCD, (AB) = 8 cm, (BD) = 10 cm. Find (AD)
Answers
Step-by-step explanation:
by using Pythagoras Theron
(AB)²+(AD)²=(BD)²
8²+(AD)²=10²
64+(AD)²=100
(AD)²=100-64
AD=√36
AD=6cm
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Given : Rectangle ABCD, (AB) = 8 cm, (BD) = 10 cm.
To Find : AD
Solution:
Right angle is a parallelogram with all angles as 90° ( right angles)
AB = 8 cm
BD = 10 cm
In ΔABD , ∠A is right angle
Hence ΔABD is right angled triangle
Using Pythagorean Theorem
BD² = AB² + AD²
Substitute AB = 8 and BD = 10
=> 10² = 8² + AD²
=> 100 = 64 + AD²
=> AD² = 36
=> AD = ± 6
Length can not be negative
Hence AD = 6 cm
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