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X is a point inside triangle
PQR. It is
3cm from
P, and
4cm from
Q. How far is
X from
R ?

$\mathrm{X}$ is a point inside triangle $\mathrm{PQR}$ . It is $3 \mathrm{~cm}$ from $\mathrm{P}$ , and $4 \mathrm{~cm}$ from $Q$ . How far is $X$ from $R$ ?

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Pythagorean theorem

Full solution

Q.

\mathrm{X}

is a point inside triangle

\mathrm{PQR}

. It is

3 \mathrm{~cm}

from

\mathrm{P}

, and

4 \mathrm{~cm}

from

Q

. How far is

X

from

R

?

Identify Triangle and Distances: Identify the triangle and the distances given. $X$ is $3\,\text{cm}$ from $P$ and $4\,\text{cm}$ from $Q$ . We need to find the distance from $X$ to $R$ .
Assume Right Triangle: Assume triangle $PQR$ is a right triangle for simplicity, with $X$ creating right triangles with sides $PQ$ , $PR$ , and $QR$ . This assumption might not be accurate but let's proceed with this for calculation purposes.

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\newline

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\newline

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