Question

1. In the figure, AB-EF=4cm, AC-DE-6cm,<A = <E=87⁰ a) Are these triangles equal? Why? b) Write the remaining equal sides and matching angles.



(PLEASE ANSWER I WILL SURELY MAKE YOU BRAINLIST) ​

Answer 1

Answer:

(i) ΔABC ≈ ΔPQR

(ii) ΔDEF ≈ ΔNML

(iii) Not congruent

(iv) ΔADB ≈ ΔADC

Answer 2

Answer:

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

Answer

As per the dimensions give in the questions,

Now, we have to find out the perimeter of △ABC

Let △ABC∼△DEF

So, AB/DE=AC/DF=BC/EF

Consider, AB/DE=AC/DE

4/6=AC/12

By cross multiplication we get,

AC=(4×12)/6

AC=48/6

AC=8cm

Then, consider AB/DE=BC/EF

4/6=BC/9

BC=(4×9)/6

BC=36/6

BC=6cm

Therefore, the perimeter of △ABC=AB+BC+AC

=4+6+8

=18cm.

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