ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.

It is given that AB = AC = 4 cm From figure, Using the Pythagoras theorem, BC 2 = AB 2 + AC 2 Substituting the values we get, ⇒ BC 2 = 4 2 + 4 2 ⇒ BC 2 = 16 + 16 = 32 ⇒ BC = cm. Let perpendicular from A to BC be h cm. Area of △ABC = × base × height = × AC × AB = = 8 cm. From figure, Area of △ABC = × BC × h. Hence, area of △ABC = 8 cm 2 and length of perpendicular from A to BC = 2.83 cm.

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Mathematics

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.

Mensuration

Related Questions

Find the area of an isosceles triangle whose base is 6 cm and perimeter is 16 cm.

If the lengths of the sides of a triangle are in the ratio 3: 4 : 5 and its perimeter is 48 cm, find its area.

Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.