In the following figure ABC is right angled at A.AP is perpendicular to BC.if AB=3cm,BC= 5cm &AC=4cm find the area of ∆ABC.Also find the length of AD

Open in App

Solution

Given that triangle ABC right angled at A.

Base = AB = 3 cm, Height = AC = 4 cm

Therefore, Area of the triangle = 1/2 × Base x Height.

Area =1/2 × AB x AC =1/2 × 3 cm x 4 cm

⇒ Area = 6 cm2.

Now, consider BC = Base, Height = AD.

Area =1/2 × Base x Height.

⇒ 6 cm2 = 5 cm x AD

AD = 6 / 5

⇒ AD = 1.2 cm

Suggest Corrections

Similar questions

ΔABC is right angled at A (see the given figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.

$△ A B C$ is right angled at $A$ . $A D$ is perpendicular to $B C$ . If $A B = 5 c m, B C = 13 c m$ and $A C = 12 c m$ . Find the area of $△ A B C$ . Also find the length of $A D$ .

$△ A B C$ is right-angled at $A . A D$ is perpendicular to $B C, A B = 5 c m, B C = 13 c m$ and $A C = 12 c m$ . Find the area of $△ A B C$ . Also, find the length of $A D$ .