In figure,angleQPS=angleRPT And anglePST=anglePQR And hence find the ratio ST : PT,if PR : QR=4:5

Question

In figure,angleQPS=angleRPT And anglePST=anglePQR And hence find the ratio ST : PT,if PR : QR=4:5

in progress 0
3 days 2021-09-09T14:13:33+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-09T14:14:45+00:00

    Answer:

    It is given that PS/SQ = PT/TR

    So, ST II QR (According to B.P.T)

    Therefore, ∠ PST = ∠ PQR (Corresponding angles)

    Also it is given that ∠ PST  = ∠ PRQ

    So, ∠ PRQ = ∠ PQR

    Therefore, PQ = PR ( sides opposite the equal angles)

    So, Δ PQR is an isosceles triangle. 

    Hence proved.

    0
    2021-09-09T14:15:06+00:00

    Solution:-

    It is given that PS/SQ = PT/TR

    So, ST II QR (According to B.P.T)

    Therefore, ∠ PST = ∠ PQR (Corresponding angles)

    Also it is given that ∠ PST = ∠ PRQ

    So, ∠ PRQ = ∠ PQR

    Therefore, PQ = PR ( sides opposite the equal angles)

    So, Δ PQR is an isosceles triangle.

    Hence proved.

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )