Math, asked by learner2008, 2 months ago

PQR is a triangle, right angled at P. If PQ=10cm and PR= 24cm. Find QR

Full explanation and proper format..

Answers

Answered by lekhavarshini15
2

Answer:

QR=26cm

Step-by-step explanation:

BY PYTHAGORAS THEOREM

QR^2=PR^2+PQ^2

QR^2=24^2+10^2

QR^2=576+100

QR^2=676

QR=√676

QR=26CM

Answered by Khadijah21
63

\huge\mathbb{QUESTION}

PQR is a triangle, right angled at P. If PQ=10cm and PR= 24cm. Find QR?

\huge\mathbb{ANSWER}

According to the question we have to find the QR?

\huge\bold{\red{Solution}}

Base (PQ)= 10cm

Altitude (PR)= 24cm

Hypotenuse (QR)= ?

\bold{\purple{Formula}}

By phythogaras property,

\bold{\blue{(Hypotenuse^2)= Base^2+Altitude^2}}

 \bold{ \green{QR^2= PQ^2+RP^2 }}

 \bold{ \purple{QR^2= 10^2+24^2 }}

 \bold{ \orange{QR^2= 100+576 }}

 \bold { \pink{QR^2= 676 }}

 \bold{ \red{QR=  \sqrt{676} }}

\bold{\green{ \sqrt{2 \times 2 \times 13 \times 13} }}

\bold{\purple{ 2 \times 13 = 26}}

\therefore\bold{Hypothenuse \:  QR= 26}

Khadijah21

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