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Maths CBSE Live product
Class 7 (2026-27)
A tale of three intersecting lines
Construction by Angles
8.
Construct the triangle using the given information
Question:
5
m.
Construct triangles for the following measurements where the angle is included between the sides:
\(5 \ cm, 135°, 6.4 \ cm\)
Construction:
Step - 1:
Draw a base line segment AC = 6.4 cm.
Draw a base line segment BC = 6.4 cm.
Draw a base line segment BC = 5 cm.
Step - 2:
Using a protractor, construct ∠B = 135° by drawing the other arm of the angle.
Using a protractor, construct ∠C = 135° by drawing the other arm of the angle.
Using a protractor, construct ∠A = 135° by drawing the other arm of the angle.
Step - 3:
With \(C\) as centre and \(6.4 \ cm\) as radius, draw an arc which meets the arc at \(A\).
With \(B\) as centre and \(5 \ cm\) as radius, draw an arc which meets the arc at \(A\).
With \(C\) as centre and \(5 \ cm\) as radius, draw an arc which meets the arc at \(A\).
Step - 4:
Join BC
Join AB
Join AC
Thus, \(ABC\)
is the required triangle
.
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