In the given figure- p -12 m and q -13 m - Find the length of rA- 35 m - 35 mB- 35 m - 5 mC- 35 m - 10 mD- 25 m - 10 m

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Distance and Displacement

In the given ...

Question

In the given figure, $p = 12 m$ and $q = 13 m$ . Find the length of $r$

35m, 35m

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35m, 5m

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25m, 10m

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35m, 10m

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Solution

The correct option is C
25m, 10m

$P Q R$ is a right-angled triangle in which $r = 6 m$ and $p = 8 m$ .

Applying Pythagoras' theorem:

$q^{2} = p^{2} + r^{2}$

$\Rightarrow 13^{2} = 12^{2} + r^{2}$

$\Rightarrow 169 = 144 + r^{2}$

$\Rightarrow r^{2} = 25$

$\Rightarrow r = 5 m$

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In the given figure, p=12 m and q=13 m. Find the length of r

The correct option is C 25m, 10m PQR is a right-angled triangle in which r=6 m and p=8 m. Applying Pythagoras' theorem: q2=p2+r2 ⇒132=122+r2 ⇒169=144+r2 ⇒r2=25 ⇒r=5 m

In the given figure, $p = 12 m$ and $q = 13 m$ . Find the length of $r$

The correct option is C
25m, 10m

$P Q R$ is a right-angled triangle in which $r = 6 m$ and $p = 8 m$ .

Applying Pythagoras' theorem:

$q^{2} = p^{2} + r^{2}$

$\Rightarrow 13^{2} = 12^{2} + r^{2}$

$\Rightarrow 169 = 144 + r^{2}$

$\Rightarrow r^{2} = 25$

$\Rightarrow r = 5 m$