In right-angled triangle $PQR$, $\angle PQR=90^\circ$, $PR=13$ cm, $QS=5$ cm and $SR=3$ cm

Question

In right-angled triangle $PQR$, $\angle PQR=90^\circ$, $PR=13$ cm, $QS=5$ cm and $SR=3$ cm. If $PS=x$, calculate Point $S$ lies between $Q$ and $R$. $P$ $Q$ $S$ $R$ $5$ $3$ $13$ $x$

Accepted Answer

(a) $130$ (b) $3\sqrt{105}/2\text{ cm}^2$.

Exact value in nested right triangles

Exact value in nested right triangles

Solution:

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