Activity 2 :-
One angle of a triangle is equal to the sum of the other two angles. The
smaller angles are in the ratio 2:3. What are the angles of the triangle?
Answers
Answer:
If one angle of a triangle is equal to the sum of other two angles
The letter G is used here to label the point where the height and the base intersect. This point is sometimes called the perpendicular projection of the point B onto the line b. Two triangles are said to be similar if all the angles of one triangle are equal to all the angles of the other.
Step-by-step explanation:
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Answer:
Let ABC be any triangle
In which measure of angleB is equal to the measure of remaining angles that is angleA and angleC
So, in triangle ABC,
angleA + angleC= angleB …………(1)
Now, in triangle
angle A +angle B+ angle C =180°
= angle B + ( angleA + angleC) =180°
= angleB + angleB =180°…………..from(1)
=2 angleB = 180°
= angle B = 180°/2
=angleB= 90°
So, one angle of triangleABC is 90° or if one angle of triangle is 90° this triangle is known as right angled triangle.
So, it is right angled triangle
Thank you………..