MP Board Class 7th Maths Solutions Chapter 10 Practical Geometry Ex 10.4
MP Board Class 7th Maths Solutions Chapter 10 Practical Geometry Ex 10.4
MP Board Class 7th Maths Solutions Chapter 10 Practical Geometry Ex 10.4
Question 1.
Construct ∆ABC, given m ∠A = 60°, m ∠B = 30° and AB = 5.8 cm.
Solution:
Steps of Construction :
1. Draw a line segment AB if 5.8 cm length.
2: Draw ∠BAX = 60°.
3. Draw ∠ABY = 30°.
4. Let AX and BY intersect at A.
Then, ABC is the required triangle.
Question 2.
Construct ∆PQR if PQ = 5 cm, m ∠PQR = 105° m ∠QRP = 40°.
Solution:
Here, ∠Q, ∠R and the side PQ are given. But to draw. We know that,
∠P + ∠Q + ∠R = 180° (∵ Sum of the angles of a triangle is 180°)
or ∠P + 105° + 40° = 180°
or ∠P = 180° – 145° = 35°
Thus, we have PQ = 5 cm,
∠P = 35° and ∠Q = 105°.
Steps of Construction :
1. Draw a line segment PQ if 5 cm length.
2: Draw ∠QPX = 35°.
3. Draw ∠PQY = 105°.
4. Let PX and QY intersect at R.
Then, PQR is the required triangle.
Question 3.
Examine whether you can construct ∆DEF such that EF = 7.2 cm, m ∠E = 110° and m ∠F = 80°. Justify your answer.
Solution:
Given, m∠E = 110° and m∠F = 80°
Since, m ∠E + m∠E = 110° + 80° = 190° > 180°
Thus, the ∆DEF cannot be drawn.
MP Board Class 7th Maths Solutions
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