pls....solve ⬆️this questions. . ?
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Answers
ANSWERS ⤵️
1) The square of the largest number is equal to the sum of the squares of the other two numbers. ∴ (5, 12, 13) is a pythagorean triplet. The square of the largest number is equal to the sum of the squares of the other two numbers. ... ∴ (11, 60, 61) is a pythagorean triplet.
2) Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
3) No tangent line can be drawn through a point within a circle, since any such line must be a secant line. However, two tangent lines can be drawn to a circle from a point P outside of the circle.
4) Triangle Similarity Test - Two sides and included angle (SAS) ... If two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle between them is the same then the triangles are similar.
5) The length of a diameter is two times the length of a radius. An angle with its vertex on the circle and whose sides are chords. The arc that is inside an inscribed angle and whose endpoints are on the angle. The point where the tangent line touches the circle.
Question :-
1)(60,61,11) is the pythagoreon triplet?Give reason.
2)Write down the basic proportionality theoreom.
3) How many tangent can be drawn fron the point outside the circle .
4) Write down the SAS Test ?
5) Angle between the external and the point of radius and tangent is of what measure ?
Answer :-
1 ) The biggest number among the given set is 61. Thus, (11, 60, 61) forms a Pythagorean triplet. Hence, the given triangle with sides 11, 60 and 61 is a right-angled triangle.
2) Let draw a line is parallel to a side of a triangle that transects the other sides into 2 distinct points then the line divides those sides in proportion. In addition, if a line divides(÷) any two sides of a triangle in the same ratio, then the line is parallel to the third side.
3)One and only one tangent can be drawn to a circle from a point on the same circle.
4) SAS is a command-driven statistical software suite widely used for statistical data analysis and visualization. Its full form is Statistical Analysis Software. SAS allows us to use qualitative techniques and processes which help us to enhance employee productivity and business profits.
5) 90°