In triangle ABC,
AB = AC = x; BC = 10 cm and the area of the triangle is 60 cm². Find x.

Question

In triangle ABC, AB = AC = x; BC = 10 cm and the area of the triangle is 60 cm². Find x.

KnowledgeBoat · Accepted Answer

In △ ABC, Draw AD ⊥ BC By formula, Area of triangle = base × height Given, Area of triangle ABC = 60 cm² We know that, In an isosceles triangle, the altitude from the vertex bisects the base. ∴ BD = CD = = 5 cm. In right-angled triangle ADB, By pythagoras theorem, ⇒ (Hypotenuse)² = (Perpendicular)² + (Base)² ⇒ AB² = AD² + BD² ⇒ x² = 12² + 5² ⇒ x² = 144 + 25 ⇒ x² = 169 ⇒ x = = 13 cm. Hence, x = 13 cm.

Mathematics

In triangle ABC,
AB = AC = x; BC = 10 cm and the area of the triangle is 60 cm². Find x.

Pythagoras Theorem

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Mathematics

In triangle ABC,AB = AC = x; BC = 10 cm and the area of the triangle is 60 cm2. Find x.

Pythagoras Theorem

Related Questions

AD is drawn perpendicular to base BC of an equilateral triangle ABC. Given BC = 10 cm, find the length of AD, correct to 1 place of decimal.

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In triangle ABC,
AB = AC = x; BC = 10 cm and the area of the triangle is 60 cm². Find x.