Question

A group of students to volunteer are working in making a safety board for school. They prepared once triangular safety board for their school with title "School Ahead" and "Drive Slow" in two parts of the triangular board as shown in below figure. (a) If AD = 2 cm, BD = 5 cm and AE = 3 cm, then EC = ? (i) 15 /3 (ii) 3/5 (iii) 1/5 (iv) 6/5 (b) If AD = 3 cm, Ab = 9 cm, BC = 6 cm, then DE = ? (i) 4 cm (ii) 3 cm (iii) 1 cm (iv) 2 cm (c) If ∠A = 60⁰ and ∠ADE = 50⁰, then ∠C = ? (i) 70⁰ (ii) 75⁰ (iii) 85⁰ (iv) 40⁰ (d) Which of the following is correct? (i) ∆ADE ~ ∆ABC (ii) ∆ADE ≅ ∆ABC (iii) Both (i) and (ii) (iv) none of these (e) What is the ratio of ar(∆ADE) to ar(∆ABC)? (i) AD²/AB² (ii) AD/AB (iii) 1 (iv) none of these

Answer 1

answers .

1)a 15/2

2)d 2cm

3)a 70 degrees

4)a triangleADE similar to triangleABC

5)a AD^2/AB^2

Answer 2

Given:

1. The correct option is "1"

The answer is  EC = 15/3

2. The correct option is "4"

The answer is DE =2cm

3. The correct option is "1"

The answer is ∠C = 70⁰

4. The correct option is "1"

The answer is  ∆ADE ~ ∆ABC

4. The correct option is "1"

The answer is the ratio of ar(∆ADE) to ar(∆ABC)=AD²/AB²