Question

Construct a right angle triangle ABC in which ∠B=90°,BC=4cm and AC=5cm

Answer 1

QuestioN :

Construct a right angle triangle ABC in which ∠B = 90°, BC = 4cm and AC = 5cm.

GiveN :

• ∠B = 90°
• BC = 4cm
• AC = 5cm

To FiNd :

• Construct a right angle triangle ABC

SolutioN :

1). Draw a line segment XY.

2). Locate B, C on XY such that BC = 4cm

3). Construct a line segment BD, sufficiently large, such that ∠B = 90°

4). With C as center and radius 5cm draw an arc, cutting BD at A; join AC.

Then, ABC is the required triangle.

Answer 2

Answer:

Triangle made

Explanation:

(AC)² = (BC)² + (AB)²

(5)² = (4)² + (AB)²

25 = 16 + AB²

25 - 16 = AB²

9 = AB²

3 = AB

CONSTRUCTION -

DRAW A LINE SEGMENT BC OF 4cm.

FROM POINT 'B' MAKE 'A' SEMICIRCLE. FROM EACH SIDE OF SEMICIRCLE DRAW ARCS OF ANY MEASUREMENT WHERE THE LINE MEETS DRAW 'A' PERPENDICULAR.

JOIN 'A' TO 'C'.