Construct a triangle ABC with BC = 5 cm, AB = .6 cm, CA = 5 cm. Class 7

Construct a triangle ABC with BC = 5 cm, AB = .6 cm, CA = 5 cm. Class 7

Question 1.

Construct a triangle ABC with BC = 5 cm, AB = .6 cm, CA = 5 cm. Construct an altitude from A to BC. Class 7

Solution:

Do as directed using the procedures as explained in the textbook on page 150 for triangle ABC and on page 169 for altitude AD.

Question 2.

Construct a triangle TRY with RY = 4 cm, TR = 7 cm, ∠R = 140°. Construct an altitude from T to RY. Class 7

Solution:

Do as directed using the procedures as explained for triangle and altitude.

Question 3.

Construct a right-angled triangle ∆ABC with ∠B = 90°, AC = 5 cm. How many different triangles exist with these measurements? Class 7

[Hint: Note that the other measurements can take any values. Take AC as the base. What values can ∠A and ∠C take so that the other angle is 90°?]

Solution:

Do as directed. Infinite number of triangle can be constructed.

Question 4.

Through construction, explore if it is possible to construct an equilateral triangle that is (i) right-angled (ii) obtuse-angled. Also construct an isosceles triangle that is (i) right-angled (ii) obtuse-angled. Class 7

Solution:

Do as directed.

(i) No. (ii) No.

For isosceles triangle, it is possible to construct (i) right-angled triangle, (ii) obtuse-angled triangle.

Do as directed.