Mathematics, 10.06.2024 16:40, amazinga

# Given: △ABC with a2 + b2 = c2 and right △DEF constructed with legs a and b and hypotenuse n

Prove: △ABC is a right triangle.

Complete the missing parts of the paragraph proof.

Proof:

We are given a2 + b2 = c2 for △ABC and right

△DEF constructed with legs a and b and hypotenuse n. Since △DEF is a right triangle, we know that a2 + b2 = n2 because of the

. By substitution, c2 = n2 Using the square root property and the principle root, we can take the square root of both sides to get

c = n. By

, triangles ABC and DEF are congruent. Since it is given that

∠F is a right angle, then ∠ is also a right angle by CPCTC. Therefore, △ABC is a right triangle by

Answers: 3

Mathematics, 21.06.2019 21:50, spookymod8967

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83

Answers: 3

Mathematics, 21.06.2019 23:40, yarrito20011307

20 ! jason orders a data set from least to greatest. complete the sentence by selecting the correct word from each drop-down menu. the middle value of the data set is a measure and is called the part a: center b: spread part b: mean a: mean absolute deviation b: median c: range

Answers: 1

Given: △ABC with a2 + b2 = c2 and right △DEF constructed with legs a and b and hypotenuse n

Pr...

Pr...

English, 31.10.2020 03:30

Mathematics, 31.10.2020 03:30

English, 31.10.2020 03:30

Mathematics, 31.10.2020 03:40