Question

In the figure,ABC is a right-angled triangle.PQ=24cm,PR=45cm and T is a point on QR such that PT丄QR.Find PT.

Answer 1

RQ² = RP² + PQ²

RQ² = 45² + 24²

RQ² = 2025 + 576

RQ² = 2601

RQ = 51

PT/PR = PQ/RQ

PT/45 = 24/51

PT = (24/51) × 45

PT = (8/17) × 45

PT = 360/17

Answer 2

Good morning ☕️

Answer:

PT ≈ 21 cm

Explanation:

trigonometry method:

24÷45=0,533333333333

tan(m∠R) = 24/25

then

m∠R = tan⁻¹(0,533333333333)

=28,072486935838

sin(m∠R) = PT/45

then

PT = 45×sin(28,072486935838)

=21,176470588225

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