The area of right-angled triangle is 96 sq meters. If the base is thre

1.	The area of right-angled triangle is 96 sq meters. If the base is three time the altitude, find the base.
Answer» Let the altitude of the triangle be x m. Therefore, the base will be 3x m. Area of a triangle = 1/2 x Base x Altitude ∴ 1/2 \(\times\) 3x \(\times\) x = 90 (∵ Area = 96 sq m) ⇒ x²/2 = 32 ⇒ x2 = 64 ⇒ x = ± 8 The value of x cannot be negative Therefore, the altitude and base of the triangle are 8 m and (3 x 8 = 24m),respectively

The area of right-angled triangle is 96 sq meters. If the base is three time the altitude, find the base.

Answer»

Let the altitude of the triangle be x m.

Therefore, the base will be 3x m.

Area of a triangle = 1/2 x Base x Altitude

∴ 1/2 \(\times\) 3x \(\times\) x = 90

(∵ Area = 96 sq m)

⇒ x²/2 = 32

⇒ x2 = 64

⇒ x = ± 8

The value of x cannot be negative

Therefore, the altitude and base of the triangle are 8 m and (3 x 8 = 24m),respectively