calculate x in each of the following figures
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may be the value of X is 82
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Answer: 16 cm
Step-by-step explanation:
Pythagoras Theorem :- The sum of the squares of the sides joining the right angle of any right angled triangle = the square of the hypotenuse of the same right angled triangle.
In ΔABE,
We have the length of the hypotenuse = 55 cm
Length of the other side = 44 cm
∴ (Base)² = (Hypotenuse)² - (Side)²
→ Base = 33 cm
Now in ΔCBE,
We have the sides of length 56 cm and 33 cm
∴ (Hypotenuse)² = (Base)² + (Side)²
→ Hypotenuse = 65 cm
Now in ΔCDE,
We have the length of the hypotenuse = 65 cm
Length of the base = 63 cm
∴ (Side)² = (Hypotenuse)² - (Base)²
⇒ Side = x = 16 cm
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