Question

Angles Q and R of A PQR are 47° and 43°. Write which of t true: (a) PQ2 + QR2 = RP2 (b) PQ2 + PR2 = OR? (c) RP2 + QR2 = PQ2​

Answer 1

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(b) (PQ)² + (PR)² = (QR)²

$\large\bold\color{tan}{\underbrace{Explanation}:-}$

Sum of all angles of a triangle is 180°. Here, the third angle P is:-

$180 - (47 + 43) = 180 - 90 = 90°$

So, the third angle is 90°. So, it is a right angled triangle which is right angled at P (Because, P is the unknown angle here). Then, always lines from point P will be squared to obtain the sum of square of other two sides:-

(PQ)² + (PR)² = (QR)² (b)

Answer 2

Answer:

$\huge\frak{\colorbox{orange}{ \red{\dag \:Answer \dag}}}$

(b) (PQ)² + (PR)² = (QR)²

$\large\bold\color{tan}{\underbrace{Explanation}:-}$

Sum of all angles of a triangle is 180°. Here, the third angle P is:-

$180 - (47 + 43) = 180 - 90 = 90°$

So, the third angle is 90°. So, it is a right angled triangle which is right angled at P (Because, P is the unknown angle here). Then, always lines from point P will be squared to obtain the sum of square of other two sides:-

(PQ)² + (PR)² = (QR)² (b)