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A

Anonymous

Dec 18, 2024

D(5,7), e(4,3), and f(8,2) form the vertices of a triangle. what is m a-30 b-45 c-60 d-90

Given the points D(5,7), E(4,3), and F(8,2) as the vertices of a triangle, what is the measure of angle A if the possible options for its measure are: a) 30°, b) 45°, c) 60°, d) 90°?

10 Answers

A
Anonymous

Feb 14, 2025

DE^2 = 1 + 16 = 17. EF^2 = 16 + 1 = 17. DF^2 = 9 + 25 = 34. Since (DE)^2 + (EF)^2 = (DF)^2, angle E is 90 degrees. DF must be the hypotenuse Here look at that
A
Anonymous

Feb 22, 2025

m∠DEF is 90°Step-by-step explanation:It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have⇒⇒and ⇒⇒Also,  ⇒⇒Now, ⇒⇒Thus, Pythagoras theorem holds.Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.
A
Anonymous

Feb 11, 2025

m∠DEF is 90°Step-by-step explanation:It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have⇒⇒and ⇒⇒Also,  ⇒ ⇒Now, ⇒⇒Thus, Pythagoras theorem holds.Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.
Option D. 90°Step-by-step explanation:we havePlot the verticessee the attached figure   the formula to calculate the distance between two points is equal tostep 1Find the distance DEsubstitutestep 2Find the distance EFsubstitutestep 3Find the distance DFsubstitutestep 4The triangle DEF is a right triangle because satisfy the Pythagoras theoremso -----> is truethereforeThe measure of angle DEF is a right angle
the actual answer is 90 Step-by-step explanation:
A
Anonymous

Feb 21, 2025

The answer 90 degrees.Step-by-step explanation:DE^2 = 1 + 16 = 17.  EF^2 = 16 + 1 = 17.  DF^2 = 9 + 25 = 34.  Since (DE)^2 + (EF)^2 = (DF)^2,   angle E is 90 degrees.
A
Anonymous

Feb 16, 2025

DE^2 = 1 + 16 = 17. EF^2 = 16 + 1 = 17. DF^2 = 9 + 25 = 34. Since (DE)^2 + (EF)^2 = (DF)^2,  angle E is 90 degrees. DF must be the hypotenuse see attachment below
A
Anonymous

Feb 17, 2025

Od. 130 degrees because if you add them together you get the 130

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