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Constructions — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsConstructions1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer.
In $\triangle\text{ABC},\angle\text{B}=90^\circ,$ AB = 5cm and AC = 13cm. Then, BC =?
  • A
    8 cm .
  • B
    18 cm .
  • ✓
    12 cm .
  • D
    None of these.
     
✓

Answer

Correct option: C.
12 cm .
12 cm .

$\text { In } \triangle ABC , \angle B =90^{\circ}$

$\text { But } AC ^2= AB ^2+ BC ^2 \text { (By Pythagoras Theoram) }$

$\Rightarrow(13)^2=(5)^2+ BC ^2$

$\Rightarrow 169=25+ BC ^2$

$\Rightarrow BC ^2=169-25=144=(12)^2$

$BC =12 cm$

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