how to find the pythogorean triplet of 35
Answers
Answer:
PLEASE MARK MA AS BRAINLIST OR HA Your answer will be (The Pythagorean Triplet is ⇒ 12, 35 and 37.)
Step-by-step explanation:
In a Pythagorean Triplet, we have a base, height and hypotenuse.
Base ⇒ \sf 2m2m
Height ⇒ \sf m^2-1m
2
−1
Hypotenuse ⇒ \sf m^2+1m
2
+1
\rule{300}{1}
Now, we have to find in which of the above does 35 go under.
Let's start with the base.
\begin{gathered}\sf \rightarrow 2m = 35\\ \\ \rightarrow m = \frac{35}{2} \\ \\ \rightarrow m= 17.5\end{gathered}
→2m=35
→m=
2
35
→m=17.5
∴ 35 is not the base.
Let's check with the height.
\begin{gathered}\sf \rightarrow m^2-1 = 35 \\ \\ \rightarrow m^2 = 36 \\ \\ \rightarrow \sqrt{m^2} =6\\ \\ \rightarrow m = 6\end{gathered}
→m
2
−1=35
→m
2
=36
→
m
2
=6
→m=6
∴ 35 could be the height.
Let's check with the hypotenuse.
\begin{gathered}\sf \rightarrow m^2+1 = 35 \\ \\ \rightarrow m^2 = 34\end{gathered}
→m
2
+1=35
→m
2
=34
∴ 35 is not the hypotenuse.
\rule{300}{1}
Now we know that the height is 35 and the value of 'm' is 6. Let's find the Pythagorean Triplet.
Base ⇒
\begin{gathered}\sf \rightarrow 2m \\ \\ \rightarrow 2\times 6 \\ \\ \rightarrow 12\end{gathered}
→2m
→2×6
→12
∴The base is 12.
Height ⇒
\begin{gathered}\sf \rightarrow m^2-1 \\ \\ \rightarrow 6^2-1\\ \\ \rightarrow 36-1\\ \\ \rightarrow 35\end{gathered}
→m
2
−1
→6
2
−1
→36−1
→35
∴The height is 35.
Hypotenuse ⇒
\begin{gathered}\sf \rightarrow m^2+1\\ \\ \rightarrow 6^2+1 \\ \\ \rightarrow 36+1 \\ \\ \rightarrow 37\end{gathered}
→m
2
+1
→6
2
+1
→36+1
→37
∴The hypotenuse is 37.
\rule{300}{1}
∴The Pythagorean Triplet is ⇒ 12, 35 and 37.
I don't know how to find sorry I mistakenly touched answer