Which of the following are true statements about a 30-60-90 triangle? Check all that apply.
2 answers:
Answer:
The longer leg measures √3 times the length of the shorter leg.
The hypotenuse is twice the length of the shorter leg.
Step-by-step explanation:
The triangle in question is a 30-60-90 degree triangle.
The conventional ratio in a 30-60-90 degree triangle is
1:1√3:230: 60: 90
Short leg: long leg: hypotenuse
x:
: 2xTherefore, the hypotenuse is twice that of the shorter leg, while the longer leg is √3 times the shorter leg.
The longer leg therefore measures √3 times longer than the shorter leg.
The hypotenuse is two times the length of the shorter leg.
Answer:
C. The hypotenuse measures twice the distance of the shorter leg.
B. The longer leg is √3 times the length of the shorter leg.
Step-by-step explanation:
A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:
The hypotenuse of a right triangle is always opposite to the right angle. If we designate as the shorter leg, the sine law affirms that the hypotenuse is:
This indicates that the hypotenuse is double the length of the shorter leg
The longer leg, which we can call , can be determined with the Pythagorean Theorem:
Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.
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Answer:
y
y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction
Explicación paso a paso:
La ecuación cuadrática que tenemos es (4y - 3)² = 72
Debemos encontrar el valor de y.
Ahora, 4y - 3 = ± 6√2
⇒ 4y = 3 ± 6√2
⇒ y
Por lo tanto, las soluciones son y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction (Respuesta)