9514 1404 393
Answer:
(d) x = 14√3; y = 14
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. That is, the short side (y) is half the length of the hypotenuse (28). Only one answer choice matches ...
y = 28/2 = 14
x = y√3 = 14√3
_____
It is a good idea to remember these ratios. They show up in a lot of problems.
Answer:
-2/3
Step-by-step explanation:
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)
6.74774893839937574747738383747645.748849392938 that the answer
