And are right-angled at and respectively

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

\triangle GHI

and

\triangle JKL

are right-angled at

H

and

K

respectively. The following measurements are provided:

GH = JK = 11\,\text{cm}

GI = JL = 61\,\text{cm}

, and

KL = 60\,\text{cm}

. (i) Prove that

\triangle GHI \cong \triangle JKL

. (ii) Find the length of

HI

. (iii) State which side of

\triangle JKL

corresponds to side

HI

\triangle GHI

under the congruence established in (i).