Home / iGCSE Mathematics (0580) :C4.4 Calculate lengths of similar figures. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) :C4.4 Calculate lengths of similar figures. iGCSE Style Questions Paper 1

Question

Triangle ABC is mathematically similar to triangle DEF.
Calculate the value of h.

▶️Answer/Explanation

72.5

property of similar triangles

$
\frac{AB}{DE} = \frac{AC}{DF}
$

\( AB = h \)
\( DE = 97.5 \text{ cm} \)
\( AC = 118.9 \text{ cm} \)
\( DF = 159.9 \text{ cm} \)

$
\frac{h}{97.5} = \frac{118.9}{159.9}
$

$
\frac{118.9}{159.9} \approx 0.7437
$

$
\frac{h}{97.5} = 0.7437
$

$
h \approx 72.5 \text{ cm}
$

Question

Triangle ABC is similar to triangle DEF.
Calculate the value of
(a) x,

Answer/Explanation

Ans: 7.5

(b) y,

Answer/Explanation

Ans: 12 cao 

Question

Triangle ABC and triangle DEF are similar.

Calculate the length of EF.
EF = ……………………………………. cm

Answer/Explanation

Ans:

21

Question

Triangle ABC is similar to triangle PQR.
Find the value of x.
x =

Answer/Explanation

 21 

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