Which new angle is created by extending one side of a triangle?
2 answers:
Answer :- An exterior angle is created by extending one side of a triangle.
Explanation:-
Let ABC a triangle with interior angles ∠A, ∠B and ∠C and one of its side AB is extended to a point P such that a new angle ∠ACP is formed outside the triangle ABC named as exterior angle of ABC.
⇒∠BCA and ∠ACP are supplementary angles.
Also the measure of exterior angle is equal to sum of the opposite interior angles of a triangle.
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Answer:
length of chord is 6cm
Step-by-step explanation:
Here, we are to calculate the length of the chord.
It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.
Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.
mathematically;
3^2 = 0.8^2 + l^2
9 = 0.64 + l^2
l^2 = 9-0.64
l^2 = 8.36
l = √(8.36)
l = 2.89 approximately
The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length
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