Answer:
Option (c) is correct.
Step-by-step explanation:
See the attached figure.
Here, x + y = 10 cm. ............ (1)
The height h divides the whole right triangle into two different right triangles.
If we consider the height as h, then applying Pythagoras Theorem,
h² = 6² - x² {From small triangle} ........... (2)
Again, from large triangle we can write,
h² = 8² - y² .............. (3)
Now, from equation (2) and (3) we can write
6² - x² = 8² - y²
⇒ 36 - x² = 64 - (10 - x)² {From equation (1)}
⇒ 36 - x² = 64 - 100 - x² + 20x
⇒20x = 72
⇒ x = 3.6 cm.
So, from equation (1) we get, y = 10 - 3.6 = 6.4 cm.
Therefore, option (c) is correct. (Answer)
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