Construct a triangle ABC- given- BC - 7 cm- AB -AC -1 cm and - ABC -45- Measure the lengths of AB and AC-

The correct option is C AB = 6.1 cm: AC = 5.1 cmStep 1 : Draw a line segment BC of length 7 #160; cm Step 2 : Draw an angle of 45^o from point BSt ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Given Base(BC), Base Angle(ABC) and AB-AC

Construct a t...

Question

Construct a triangle ABC, given: BC = 7 cm, AB -AC =1 cm and $∠ A B C = 45^{\circ}$ . Measure the lengths of AB and AC.

AB = 8.6 cm: AC = 7.6 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

AB = 2.7 cm: AC = 1.7 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

AB = 6.1 cm: AC = 5.1 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Data insufficient

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C AB = 6.1 cm: AC = 5.1 cm
Step 1 : Draw a line segment BC of length $7 c m$
Step 2 : Draw an angle of $45^{o}$ from point B
Step 3 : From Ray AX cut off the line segment $B D = 1 c m$
Step 4 : Join C to D
Step 5 : Draw side bisector of DC
Step 6 : Extend side bisector of DC it intersect the Ray BX at point A
Step 7 : Join A to C, ABC is the required triangle.
On measuring, $A B = 6.1 c m, A C = 5.1 c m$

Suggest Corrections

Similar questions

Q. Construct triangle

A B C

having given

B C = 7 c m, A B - A C = 1 c m

and

∠ A B C = 45^{o}

Q. Construct a triangle

A B C

, having given

B C = 7

cm,

A B - A C = 1

cm and

∠ A B C = 45^{o}

. Draw its incircle.

Construct a

△ A B C

in which:

A B = 5.4 c m

∠ C A B = 45^{0}

and

A C + B C = 9 c m

Then the length of

A C

(in

c m .

) is:

Q. Construct a triangle ABC with AB = 7cm, BC = 6.5 cm and

∠ C A B = 60^{\circ}

. Measure the length of AC (in cm)

Q. Construct

△ A B C

such that

A B = 2.5 c m, B C = 6 c m

and

A C = 6.5 c m

. Measure

∠ B

Join BYJU'S Learning Program

Construct a triangle ABC, given: BC = 7 cm, AB -AC =1 cm and ∠ABC=45∘. Measure the lengths of AB and AC.

Construct a triangle ABC, given: BC = 7 cm, AB -AC =1 cm and $∠ A B C = 45^{\circ}$ . Measure the lengths of AB and AC.