Q. 14.2( 155 Votes )

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

Answer :

It is given in the question that,

PQ = 10 cm

Also,

PR = 24 cm

We have to find QR

We know that,

According to Pythagoras theorem,

In a right angled triangle:

(Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}

By applying Pythagoras theorem in the given question, we get:

(QR)^{2} = (PQ)^{2} + (PR)^{2}

(QR)^{2} = (10)^{2} + (24)^{2}

(QR)^{2} = 100 + 576

(QR)^{2} = 676

Hence,

QR =

QR = 26 cm

Rate this question :

Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

NCERT - Exemplar MathematicsIn a triangle, one angle is of 90°. Then

(i) The other two angles are of 45° each

(ii) In remaining two angles, one angle is 90° and other is 45°

(iii) Remaining two angles are complementary

In the given option(s) which is true?

NCERT - Exemplar MathematicsThe perimeter of the rectangle whose length is 60 cm and a diagonal is 61 cm is

NCERT - Exemplar MathematicsTwo trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is

NCERT - Exemplar MathematicsIn a right-angled triangle ABC, if angle B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is

NCERT - Exemplar Mathematics