Is right triangle

Find out if the triangle ABC (with right angle at the vertex C) is right if:
a) a = 3 dm, b = 40 cm, c = 0.5 m
b) a = 8 dm, b = 1.2 m, c = 6 dm

Result

x=

Yes

No

y=

Yes

No

Step-by-step explanation:

$$\begin{gathered} a=3\text{dm} \\ b=40\text{cm}\to \text{dm}=40:10\text{dm}=4\text{dm} \\ c=0.5\text{m}\to \text{dm}=0.5\cdot 10\text{dm}=5\text{dm} \\ d=\sqrt{a^2+b^2}=\sqrt{3^2+4^2}=5\text{dm} \\ d=c \\ x=1 \end{gathered}$$

$$\begin{gathered} a_1=8\text{dm} \\ {b}_1=1.2\text{m}\to \text{dm}=1.2\cdot 10\text{dm}=12\text{dm} \\ {c}_1=6\text{dm} \\ e=\sqrt{a_1^2+b_1^2}=\sqrt{8^2+12^2}=4\sqrt{13}\text{dm}\doteq 14.4222\text{dm} \\ e\ne c_1 \\ f=\sqrt{a_1^2+c_1^2}=\sqrt{8^2+6^2}=10\text{dm} \\ y=0 \end{gathered}$$

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