side of the triangle. Prove that, if the vertex angle of an isosceles triangle is obtuse, then the base is longer than either leg. Prove that the shortest distance from a point to a line is the longth of tho

Q: Which similarity postulate or theorem, if any can be used to show the two triangles similar?

A: Here for triangle SQR,    Length of the side QS = 8    Lengthof the side QR = 17    Length of the…

Q: 8. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4),…

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Q: Show that the triangle whose vertices are A(3, 6), B( - 6, 4), and C(1, - 2) is an isosceles…

A: to show that triangle is isosceles.

Q: Prove that the line segment joining the midpoints of two sides of a triangle is half the length of…

A:

Q: Show that a right triangle is formed by points ?(3,1,-1), ?(5,3,6), and ?(3,-5,0). If it does not…

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Q: Let a and b be positive numbers. Find the length of theshortest line segment that is cut off by the…

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Q: Show that the lines 2x+3y-2=0, 3x-2y+23=0 and x-5y+12=0 are the sides of an isosceles triangle. Find…

A: Plot the given 3 st. lines and mark the intersection points forming the triangle.

Q: 3 -2-1 -2 -3 -4 -5 -6V How can we

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Q: Show that the two triangles are similar. S v and SVR Z V. so ASIVR ATRU ZVRS L

A: The figure given in the problem represents two triangles. From the figure, angle VRS and angle RUT…

Q: A(4,-1), B(5,6), C(1,3) is an isosceles right triangle. Find the length of one of the two congruent…

A: Given: A(4,-1), B(5,6), C(1,3) is an isosceles right triangle. As per the distance formula distance…

Q: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

Q: Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then…

A: Let the three parallel lines be l, m, n and the equilateral triangle be ABC.

Q: Find the altitude of a triangle if its base has length 10 and the triangle is equal in area to a…

A: Find the altitude of a triangle if its base has length 10 and the triangle is equal in area to a…

Q: Is the distance between a and b the same as the distancebetween b and a?

A: By Definition, The distance between two numbers is defined as distance = a - b  so, its an…

Q: 13. A right triangle has vertices at (4, -2) (4, 4) and (-5, -2). Graph the points and find the…

A: The coordinates of the vertices of a right triangle are: x1, y1 = 4, -2 x2, y2 = 4, 4 x3, y3 = -5,…

Q: a and b are two points in the third-dimenson. Show the equation that describes the set of points…

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Q: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines