question_answer

In the given figure of a field, PQR and RST are right- angled at Q and S respectively. The measure of the sides are given (See figure) What type of a triangle is \[\Delta PRT\]?

A)  Isosceles triangle                  

B)  Equilateral triangle

C)  Scalene right - angled triangle      

D)  Right - angled isosceles triangle.

Correct Answer: D

Solution :

(d): This is also an excellent problem to test the mind of students \[\Delta PQR=\Delta RST\]: Hence, if \[\angle PRQ=x\] then \[\angle SRT=90-x{}^\circ \] \[\Rightarrow \angle PRT=90{}^\circ \] Also \[PR=RT\Rightarrow (D)\]