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Find perimeter of the pentagon PQRST (drawn with thick black lines){The pentagon constitutes of three right angle triangles, smallest is the trngl PQR, and angle PQR is the right angle, The middle triangle is triangle SRP, with angle SRP being the right angle. The largest triangle is trngl TSP with angle TSP as the right angle.} If all side lengths are integers. You are given (PQ)= 3 units, (QR) = 4 units. (ST)= x units and (TP) = (x + 1) units.? [Asked in NEST, NISER entrance test 2019, second session] Also plz make it possible to attach jpeg files with questions?
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Find perimeter of the pentagon PQRST (drawn with thick black lines){Th...
Finding Perimeter of Pentagon PQRST:

Given:

  • (PQ) = 3 units

  • (QR) = 4 units

  • (ST) = x units

  • (TP) = (x + 1) units



Approach:

  • We need to find the perimeter of pentagon PQRST.

  • For that, we need to find the length of the sides PR, RS, ST, and TP.

  • Then, we can add all the sides to get the perimeter.

  • We can use the Pythagorean theorem to find the length of the sides.

  • As we know, PQR, SRP, and TSP are right-angled triangles.



Calculations:

  • Using Pythagorean theorem, we can find PR:


    • (PQ)^2 + (QR)^2 = (PR)^2

    • (3)^2 + (4)^2 = (PR)^2

    • (9) + (16) = (PR)^2

    • (25) = (PR)^2

    • (PR) = 5 units


  • Similarly, using Pythagorean theorem, we can find RS:


    • (SR)^2 + (PR)^2 = (RS)^2

    • (SR)^2 + (5)^2 = (RS)^2

    • (SR)^2 + (25) = (RS)^2


  • Using Pythagorean theorem, we can find ST:


    • (SR)^2 + (ST)^2 = (TR)^2

    • (SR)^2 + (ST)^2 = ((TP) + (PR))^2

    • (SR)^2 + (ST)^2 = ((x + 1) + 5)^2

    • (SR)^2 + (ST)^2 = (x + 6)^2


  • Using Pythagorean theorem, we can find TP:


    • (TP)^2 + (PR)^2 = (TR)^2

    • ((x+1))^2 + (5)^2 = ((x+6))^2

    • (x^2 + 2x + 1) + (25) = (x^2 + 12x + 36)

    • 2x + 26 = 36

    • 2x = 10

    • x = 5 units

    • (TP) = (5+1) = 6 units


  • Now we can calculate the perimeter of pentagon PQRST:


    • Perimeter = (PQ) + (QR) + (RS) +
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Find perimeter of the pentagon PQRST (drawn with thick black lines){The pentagon constitutes of three right angle triangles, smallest is the trngl PQR, and angle PQR is the right angle, The middle triangle is triangle SRP, with angle SRP being the right angle. The largest triangle is trngl TSP with angle TSP as the right angle.} If all side lengths are integers. You are given (PQ)= 3 units, (QR) = 4 units. (ST)= x units and (TP) = (x + 1) units.? [Asked in NEST, NISER entrance test 2019, second session] Also plz make it possible to attach jpeg files with questions?
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Find perimeter of the pentagon PQRST (drawn with thick black lines){The pentagon constitutes of three right angle triangles, smallest is the trngl PQR, and angle PQR is the right angle, The middle triangle is triangle SRP, with angle SRP being the right angle. The largest triangle is trngl TSP with angle TSP as the right angle.} If all side lengths are integers. You are given (PQ)= 3 units, (QR) = 4 units. (ST)= x units and (TP) = (x + 1) units.? [Asked in NEST, NISER entrance test 2019, second session] Also plz make it possible to attach jpeg files with questions? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find perimeter of the pentagon PQRST (drawn with thick black lines){The pentagon constitutes of three right angle triangles, smallest is the trngl PQR, and angle PQR is the right angle, The middle triangle is triangle SRP, with angle SRP being the right angle. The largest triangle is trngl TSP with angle TSP as the right angle.} If all side lengths are integers. You are given (PQ)= 3 units, (QR) = 4 units. (ST)= x units and (TP) = (x + 1) units.? [Asked in NEST, NISER entrance test 2019, second session] Also plz make it possible to attach jpeg files with questions? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find perimeter of the pentagon PQRST (drawn with thick black lines){The pentagon constitutes of three right angle triangles, smallest is the trngl PQR, and angle PQR is the right angle, The middle triangle is triangle SRP, with angle SRP being the right angle. The largest triangle is trngl TSP with angle TSP as the right angle.} If all side lengths are integers. You are given (PQ)= 3 units, (QR) = 4 units. (ST)= x units and (TP) = (x + 1) units.? [Asked in NEST, NISER entrance test 2019, second session] Also plz make it possible to attach jpeg files with questions?.
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