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Constructions — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsConstructions1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer.
$\triangle\text{ABC}$ is an isosceles triangle with $\angle\text{C}=90^\circ$ and AC = 5cm. then, AB = ?
  • A
    2.5 cm .
  • B
    5cm.
  • C
    15 m .
  • ✓
    $5 \sqrt{2} cm$.
✓

Answer

Correct option: D.
$5 \sqrt{2} cm$.
$5 \sqrt{2} cm$.




$\triangle ABC$ is an isosceles triangle

$\angle C=90^{\circ}$

$AC=5 cm$

$BC=AC=5 cm$

$\text { In right } \triangle ABC$

$AB^2=AC^2+BC^2=(5)^2+(5)^2=25+25=50=2 \times 25$

$AB=\sqrt{2 \times 25}=5 \sqrt{2} cm$

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