Question

A PQR is right angled at Q and T is a point on PR such that QT perp PR If PR = 13 cm and RT = 4 cm , then QT =​

Answer 1

Given:

PQR is right angled  

Q and T is a point on PR

QT ⊥ PR  [From vertex Q to hypotenuse PR]

PR = 13 cm  

RT = 4 cm

Find  QT = ?

• Here PR = PT + RT

       13 = PT + 4

       PT = 13 - 4

       PT = 9

• So by theorem

        QT² = PT × RT

        QT² = 9 × 4

        QT² = 36

        QT = 6cm

Hence the value of QT is 6 cm.