Question

(iii) The length of longest side of the triangular park is ish 10. Area of a right triangular park is 420 m² whose altitude exceeds the base by 11 m. Using the above information, answer the questions given below: (i) Length of base of triangle is (1) 20 m (3) 27 m (ii) Length of altitude of the triangle is (1) 25 m (3) 35 m (1) √1801m (3) 41 m (iv) Length of longest altitude of the triangle is (1) 19 mi (3) 35 m (2) 24 m (4) 30 m (2) 30 m (4) 40 m (2) √1881m (4) 43 m (2) 24 m​

Answer 1

Answer:

⇒ Let base of right angled triangle be xm

⇒ Then, altitude of right angled triangle becomes (x+7)m

⇒ Area of right angled triangle =165m

2

⇒

2

1

×x×(x+7)=165

⇒ x

2

+7x=330

⇒ x

2

+7x−330=0

⇒ x

2

+22x−15x−330=0

⇒ x(x+22)−15(x+22)=0

⇒ (x+22)(x−15)=0

∴ x=−22 and x=15

Base cannot be negative.

∴ Base of right angled triangle is 15m