Five mark exercise problem IV — task. Mathematics State Board, Class 10.

PDF chapter test TRY NOW

Two triangles

$QPR$ and

$QSR$ , right angled at

$P$ and

$S$ respectively are drawn on the same base

$QR$ and on the same side of

$QR$ . If

$PR$ and

$SQ$ intersect at

$T$ , prove that

$PT \times TR = ST \times TQ$ .

Answer:

$\Delta PTQ$ and

$\Delta STR$ :

$∠ QPT = ∠ i$

$∠ PTQ = ∠ i$

Therefore,

$\Delta PTQ$

$\Delta STR$ .

$\frac{PT}{i} = \frac{i}{RT}$

$i \times i = i \times i$

Hence, it is proved.

Did you find an error?

23. Five mark exercise problem IV