Check the solution to "The sides of triangle have lengths 7,5.1, and..."

Rena Giron

Answered question

2021-11-22

The sides of triangle have lengths 7,5.1, and 6.2. What kind of triangle is it?
Find f.

Write your answer in simplest radical form.

Roger Noah

Beginner2021-11-23Added 17 answers

a) Given sides of triangle have lengths 7,5.1, and 6.2
Since all the sides are different.

Let

c = 7

(largest side)

a = 5.1

and

b = 6.2

c^{2} = 7^{2} = 49 < {(5.1)}^{2} + {(6.2)}^{2} = a^{2} + b^{2}

c^{2} < a^{2} + b^{2}

c^{2} < a^{2} + b^{2}

, then the triangle is an acute triangle
Acute b) Since

m ∠ A C B = m ∠ A B C = 4 s

\Rightarrow A B = A C = f

A B = f

9 n △ A B C, A C^{2} = A B^{2} + A C^{2}

= f^{2} + f^{2} = 2 f^{2}

\Rightarrow 4 = 2 f^{2} \Rightarrow f^{2} = 2

f = \sqrt{2} = 1.414

f = 1.414

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