Given: ΔABC is a right triangle.
Prove: a2 + b2 = c2
Right triangle BCA with sides of l...
Mathematics, 01.07.2021 19:20, wdgyvwyv8840
Given: ΔABC is a right triangle.
Prove: a2 + b2 = c2
Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right triangles BDC and CDA. CD measures h units, B
The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles:
Statement Justification
Draw an altitude from point C to Line segment AB
Let segment BC = a
segment CA = b
segment AB = c
segment CD = h
segment DB = x
segment AD = y
y + x = c
c over a equals a over y and c over b equals b over x
a2 = cy; b2 = cx
a2 + b2 = cy + b2
a2 + b2 = cy + cx
a2 + b2 = c(y + x)
a2 + b2 = c(c)
a2 + b2 = c2
Which is not a justification for the proof? (5 points)
Addition Property of Equality
Pythagorean Theorem
Pieces of Right Triangles Similarity Theorem
Cross Product Property
Answers: 2
Mathematics, 21.06.2019 15:00, mdaniella522
7(x - 2) = 3(x + 4) solve the following equation. then enter your answer in the space provided using mixed number format.
Answers: 2
Mathematics, 21.06.2019 19:30, ndurairajownkpq
The cone in the diagram has the same height and base area as the prism. what is the ratio of the volume of the cone to the volume of the prism? h hl base area-b base area =b volume of cone_1 volume of prism 2 volume of cone 1 volume of prism 3 volume of cone 2 volume of prism 3 oc. od. volume of cone volume of prism e. volume of cone volume of prism 3 2
Answers: 3
Advanced Placement (AP), 12.10.2020 18:01
Spanish, 12.10.2020 18:01
Business, 12.10.2020 18:01
English, 12.10.2020 18:01
Mathematics, 12.10.2020 18:01
Mathematics, 12.10.2020 18:01