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In triangle ABC the angle at A is three times the size of that at B and half the size of the angle at C what is angle at A?
olution: we have given in the question
A=3B ---------equation 1
A=1/2C------------ equation 2
now we have to find A as asked in the question
from equation 1 B=A/3
from equation 2 C=2A
A= ?
we know that in triangle A+B+C= 180 degrees
by putting the values of B & C in triangle equation i-e
A+A/3+2A=180
taking LCM which is 3 we will get
(3A+A+6A)/3=180
10A/3 = 180
10A=540
Hence A= 54 Degrees (Answer)
What else can I help you with?
What is the area of a right triangle?
Half the base times the height A triangle is a figure that is enclosed by three connecting segments. A right triangle has one angle equal to 90 degrees. The area is 1/2 the base times the height.
How do you find the area of a triangle if you know the length of all three sides?
The area of a triangle (At) is one half the length of the base (b) times the height (h).Atriangle = 0.5bhThe height of a triangle is the length of the line drawn perpendicular (at right angles to) to the base from the angle opposite the base.
What is half of an isosceles triangle?
Depending how you halve it can be a right angle triangle or an isosceles trapezoid
Why is the area of the triangle half the base times the height?
Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
How do you find the angle in a triangle?
it's easy, length x width divided in half.
What is the area of a right triangle?
Half the base times the height A triangle is a figure that is enclosed by three connecting segments. A right triangle has one angle equal to 90 degrees. The area is 1/2 the base times the height.
How many sides does a square triangle have?
A square triangle, also known as a right triangle, has three sides, just like any other triangle. The term "square" in this context refers to one of the angles being a right angle, not the shape of the triangle itself. So, a square triangle has two legs and a hypotenuse, totaling three sides.
Calculate the area of a triangle?
If it is a right angled triangle then it is 0.5*(base)*(height) of the triangle half the base times by the height imagine it as half the area of a rectangle of the two triangles * * * * * That is all very well if you know the base and the height. Sometimes you know only the three sides. Or only two sides and an angle, or two angle and a side. There are a whole host of formulae for such circumstances.
Which of the following are properties of the incenter of a triangle?
When three medians of triangle intersect at a particular point that is called Incentre of triangle. (Median : A line which originates from angle and cuts the opposite side's half.)
The sum of the first two angles of a triangle are twice the measure of the third angle The first angle is half of the second angle What are the three angles?
The angles are 40, 80 and 60 degrees.
How do you find the area of a triangle if you know the length of all three sides?
The area of a triangle (At) is one half the length of the base (b) times the height (h).Atriangle = 0.5bhThe height of a triangle is the length of the line drawn perpendicular (at right angles to) to the base from the angle opposite the base.
What is half of an isosceles triangle?
Depending how you halve it can be a right angle triangle or an isosceles trapezoid
Why is the area of the triangle half the base times the height?
Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
How are the formulas for area of a triangle and rectangle similar?
the area of a triangle is half of the base times the height the area of a triangle is half of the base times the height
What do you have to do to the area of a right angled triangle?
The area of a triangle is one half base times height. In the case of a right triangle, the base is one leg and the height is the other leg. (The two legs being separated by the right angle.)
If you have the sides of a triangle how do you get the area?
Half The Base, Times The Height Of The Triangle.
How do you find the angle of a triangle within a circle segment?
To find the angle of a triangle within a circle segment, you first need to determine the central angle of the circle segment. Then, you can use the properties of triangles inscribed in circles to find the angle. The angle of the triangle within the circle segment will be half the measure of the central angle.
