1. Consider a triangle with side lengths as given below. Determine in each case whether or not the triangle is right-angled. In each case, state whether you are using Pythagoras' Theorem or its converse. (a) 5, 12 and 13; (b) 4, 6 and 8.

Q: △ABC is an isosceles triangle. AB = BC. If AB=2x+4, BC=x+8 and AC=5x−2. Find the value of x?

A: Given data, △ABC is an iscosceles triangle,  AB = BC AB = 2x + 4 BC = x + 8 AC = 5x - 2

Q: Classify APQR by its sides. Then determine whether it is a right triangle. R (2.3) (2.1) P 0 CLU a b…

A: Given,The vertices  and  of a triangleAim: To determine whether the triangle is a scalene,…

Q: 7. Describe the possible values of x in the figure shown 8. List the angles of the given triangle…

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Q: Let P be the point (4,5,5) and Q be the point (2,5,3). What is the distance between P and Q? You may…

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Q: 3. In a triangle ABC, E is the midpoint of the segment AB, Fis the midpoint of AC, and G is the…

A: Given - In a triangle ABC , E is the midpoint of the segment AB , F is the midpoint of AC  and G is…

Q: Let O = (0,0, 0), Р — (2, –2, 1), Q (2,5, b), where b is a real number. Find two values of b such…

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Q: If line segment ST is parallel to line segment QR, which equation is true?

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Q: 9 Reflect the triangle over the line x-3 台 IC

A: the mirror image of the given triangle will be formed on the left side of x=3 line.

Q: Two angles of an isosceles triangle are x and (x+10). Find two possible values of x.

A: We know, in an isosceles triangle, there are two base angles and one other angle, and the two base…

Q: 2. Plot the points D = (-6, 3), E = (3,-5), F = (-1, 5) and form the triangle DEF. Using distance…

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Q: 8. What is WZ? 6r-16 3x+3 4x-10 W

A: Solution: The objective is to find WZ

Q: Let a and b represent the two legs of a right triangle, while c represents the hypotenuse Find the…

A: The given triangle has side measures  and .The aim is to find the value of .

Q: 18 cm 12 cm F E C (a) Find the length of BC.

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Q: A segment has the following coordinates A(6, 7). B(4. -3). Find the coordinates of the midpoint of…

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Q: ZM and ZN are consecutive (same-side) interior angles forme by two parallel lines cut by a…

A: Same Side Interior Angles Theorem:- If two parallel lines are cut by a transversal, then the same…

Q: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

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Q: 2. Consider the figure: 2a Show that 2OBP is a straight angle. Enter your next step here

A: Answer

Q: /14 5g0 Y K.

A: