Find the lengths of the missing sides in the triangle. Round to the nearest tenth. The diagram is not to scale. (BOTH X AND Y)
![Find the lengths of the missing sides in the triangle Round to the nearest tenth The diagram is not to scale BOTH X AND Y class=](https://us-static.z-dn.net/files/d5d/128527b775e44d7d949dffe175bd2a0b.png)
Answer:
x = 13
y = 18.4
Step-by-step explanation:
Reference to angle 45°,
Opposite side = x
Adjacent side = 13
Hypotenuse side = y
Using Trigonometric ratio,
tan 45° = x / 13
x = 13 tan45°
x = 13
Using Pythagoras' Theorem,
hypotenuse^2 = Opposite^2 + Adjacent^2
y^2 = 13^2 + 13^2
y^2 = 169 + 169
y^2 = 338
Take square roots of both sides
y = √338
y = 18.3848
y = 18.4