One of the acute angle of a right angle triangle is 75 degree find the other acute angle
Answers
ANSWER ⏬⏬⏬
Given two angles:-
90°+75°+x=180°
165°+x=180°
x=180°-165°
x=15
Answer:
The complement of an acute angle is an acute angle. Explanation: As the sum of the complementary angles is 90°.The supplement of an acute angle is ……….obtuse angle
The supplement of an acute angle will always be an obtuse angle. An acute angle is an angle which measures greater than 0 degrees and less than 90...
ANSWER
Suppose the vertices of the sector are labelled A,B and C with angle BAC =θ.
Given diameter =14cm ⟹ Radius (R)=7cm
Then ∣AB∣=∣AC∣=R=7.
From A, draw the bisector m of θ in the sector.
This line m goes through the centre of the circumscribing circle and intersects that circle at point S(opposite to vertex A).
The length AS=2r, where r is the radius that we need to determine.
Draw from S the line segment SB.
Since AS goes through the centre of the circumscribing circle and B is a point on that same circle,
△ASB is a right triangle and ∠SBA=90o.
Furthermore, angle BAS=θ/2
So ∣AS∣=cos(θ/2)∣AB∣
Since ∣AS∣=2r and ∣AB∣=R=7, we have
2r=cos(θ/2)R=cos(θ/2)7
⟹ r=21×cos(θ/2)7=27sec(θ/2)
∴ Area of the circle circumscribing the sector ABC=πr2=722×472sec2(2