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algol13
3 years ago
9

Given rectangle QRST, what is a logical first step to prove that the diagonals QS and RT are congruent?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0
Prove that QR is parallel to ST

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What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

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If A and B are two rational numbers such that A<B

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