ln ∆ LMN, l =5, m = 3 , n = 12 State with the reason ∆ LMN is a right angled triangle or not
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Answer:
Given: A ALMN, in which, LM = 5 units, MN = 13 units, NL = 12 units
To Find: Whether it is a right angled triangle
or not.
O In a right angled triangle, Sum of the squares of perpendicular and base is equal to the hypotenuse.
* (Perpendicular)2 + (Base)2 = (Hypotenuse)²
Here
Perpendicular = 12 units
• Base = 5 units
Hypotenuse = 13 units
Put the values in the formula and solve.
50%
:⇒ P² + B² = H²
=>
(12)² + (5)² = (13)²
144 25 169
169 169 ★ =
... Hence, triangle LMN is a right angled triangle
hope it will help you
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