Please answer the question on the image with a full detailed description.
Answers
∆ABC, AB = AC, ∠ABC = ∠ACB
Equilateral Triangle: Equilateral triangle is a unique triangle in which all the angles & all the sides are equal.
In ∆ABC, AB = BC = AC. Then, ∠ABC = ∠BCA = ∠CAB = 60°
With regard to their angles, triangles are of five types:
Acute Triangle: If all the three angles of a triangle are acute i.e., less than 90°, then the triangle is an acute-angled triangle.
Obtuse Triangle: If any one of the three angles of a triangle is obtuse (greater than 90°), then that particular triangle is said to be an obtuse angled triangle. Note: the remaining two angles of an obtuse angled triangle are always acute.
Right Triangle: If any of the three angles of a triangle is a right angle (i.e. exactly 90°), then that particular triangle is know as the right angled triangle.
Note: The remaining two angles of the right angled triangle are always acute angles. An important property concerning right angled triangles is Pythagorean Theorem. It states that in a right angled triangle, the sum of the squares of Base & Perpendicular is equal to the square of the Hypotenuse of the triangle.
In the figure above, DABC is a right triangle, so (AB)2 + (AC) 2 = (BC)2. Here, AB = 6 and AC= 8, so BC= 10, since 62 + 82 = 36 + 64 = 100 = (BC) 2 and BC = &redic;100.
It is formed by joining two identical isosceles triangles base to base.
Its diagonals are not equal but cut each other in half at right angles.
=> x = 75°