Question

construction of a triangle steps
no spmme​

Answer 1

Answer:

3. Construct a scalene triangle, given its perimeter and its two base angles.

Constructions of Triangles

Draw a line segment, say XY equal to BC + CA + AB.

Make angles LYX equal to B and MYX equal to C.

Bisect LYX and MYX. Let these bisectors intersect at a point A

Draw perpendicular bisectors PQ of AX and RS of AY.

Let PQ intersect XY at B and RS intersect XY at C. Join AB and AC

Then ABC is the required triangle

Step-by-step explanation:

1. Construct a scalene triangle when the base, one base angle and the sum of the lengths of the other two sides are given.

Constructions of Triangles

Construction:

Draw the base BC and at the point, B makes an angle, say XBC equal to the given angle.

Cut a line segment BD equal to AB + AC from the ray BX.

Join DC and make an angle DCY equal to BDC.

Let CY intersect BX at A

ABC is the required triangle.

In triangle ACD, ∠ACD = ∠ ADC

So, AB = BD – AD = BD – AC

AB + AC = BD

Answer 2

$\huge\sf{\red{Answer:-}}$

$<font color="purple"><b>$

(i) Draw a line segment BC = 4 cm.

(ii) With B as Centre and radius 3.5 cm, draw an arc.

(iii) With C as centre and radius 4.5 cm, draw another arc cutting the previous arc at A.

(iv) Join AB and AC.

Steps of Construction

1Save

Therefore, ∆ ABC is the required triangle.

2. Draw a triangle ABC such that BC = 4.5 cm, AB = 3.5 cm, AC = 5 cm.

[Let us draw a rough sketch of the triangle ABC. Name the vertices and show the given measures.]

Steps of Construction:

Now let’s follow these steps one by one

(i) Draw a line segment BC = 4.5 cm.

(ii) With B as Centre and radius 3.5 cm, draw an arc.

(iii) With C as centre and radius 5 cm, draw another arc cutting the previous arc at A.

(iv) Join AB and AC.

Steps of Construction

1Save

Therefore, ∆ ABC is the required triangle.