Question

A triangle of sides AB = 4.3 cm, BC = 9.5 cm, and AC = 6.4 cm is constructed. The $\Delta$ABC is a/an angled triangle

• A. acute
• B. right
• C. obtuse

Answer 1

The correct option is C obtuse

Given: AB = 4.3 cm, BC = 9.5 cm, and AC = 6.4 cm

Step 1:
Draw the line segment AB = 4.3 cm.

Step 2:
Take B as centre and cut an arc of radius 9.5 cm.

Step 3:
Take A as centre and cut an arc of radius 6.4 cm.

Step 4:
Mark point of intersection of the arcs drawn as C. Join A and C, and B and C.

From above construction, measure the angles using protractor.
$\angle$A = 123${}^{\circ }$, $\angle$B = 37${}^{\circ }$, and $\angle$C = 20${}^{\circ }$

Hence, the given triangle is an obtuse angled triangle.