in triangle pqr measure angle Q is 90 degree if length QR is 6 cm and length PQ is 8 m find the length of seg PR
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Given :-
In a Triangle PQR –
- Measure of ∠Q is 90°
- PQ is 8 cm
- QR is 6 cm
To Find :-
- Measure of PR
Solution :-
~Here, we’re given the length of base and perpendicular in a triangle , also the angle which is of 90 degrees and we need to find the hypotenuse of that triangle. We can find the hypotenuse by applying the Pythagoras theorem.
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As we know that ,
★ Pythagoras theorem = PR² = PQ² + QR²
Where,
PR is hypotenuse
PQ is perpendicular
QR is base
Finding PR :-
PR² = 8² + 6²
PR² = 64 + 36
PR² =100
PR = √100
PR = 10 cm
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Hence,
- Measure of PR ( Hypotenuse ) is 10 cm
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