If the circumcenter of a triangle lies o the triangle then what type of triangle is it a. acute b. right c. obtuse d equilateral

Circumcenter : The point where the perpendicular bisectors of a triangle meet(D) and then taking this point as center of circle and joining these points to vertex of triangle,and then by taking either DA,DB,DC as radius and drawing a circle , we get circumcircle, and point D  is called Circumcenter.

As given in the Question ,Out of given options, Circumcenter of triangle lies on the .... triangle,

We will answer by starting from option (1)

(A). Acute Angle Triangle : In acute angled triangle , circumcenter lies inside the triangle.

(B) Right Triangle: The two legs of right angled triangle meet at the vertex where the angle is of 90°.So from drawing perpendicular from the vertex where angle is of 90° to the hypotenuse gives you Circumcenter of right angled triangle.On Hypotenuse , Circumcenter of Right angle triangle lies.

So, Option (B) Right angled triangle, is correct option.

In Option (C) i.e in Obtuse angled triangle and in option (D) Equilateral Triangle , Circumcenter lies Outside and  inside the triangle.(Images drawn below)

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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step-by-step explanation:

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