Answer:
2π - 4√5
(= -2.66 to nearest hundredth).
Step-by-step explanation:
√(2π - 4√5)^2
= 2π - 4√5 (by the definition of a square root)
If you want an approximate value it is
-2.66 to the nearest hundredth
Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Rounded answer is 7.66
Regular answer is 7.65966
Step-by-step explanation:
All sides are congruent, therefore is an equilateral triangle.
It's also an isosceles acute triangle because two sides are congruent and all angles are acute.
It's also an isosceles triangle because two sides are congruent.
