If in - ABC- AB -4-5 cm- - ABC -60- and - BAC -80- then which of the following options will be the length of AC-

Let’s first construct nbsp; △ ABC using the ASA criterion. nbsp; 1. nbsp;First, let’s draw the line segment AB. 2. nbsp;Next, we will draw an 80^∘ ...

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

Byju's Answer

Standard VIII

Mathematics

Constructing a Triangle using ASA property

If in △ ABC, ...

Question

If in $△ A B C, A B = 4.5 cm, ∠ A B C = 60^{\circ}, and ∠ B A C = 80^{\circ}$ , then which of the following options will be the length of $A C ?$

6.1 cm

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

6.5 cm

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

5 cm

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

5.4 cm

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

Open in App

Solution

The correct option is A $6.1 cm$
Let’s first construct $△ A B C$ using the ASA criterion.

1. First, let’s draw the line segment $A B$ .

2. Next, we will draw an $80^{\circ}$ angle at vertex $A$ .

3. Finally, we’ll draw a $60^{\circ}$ angle at vertex $B$ .

Measuring the length of $A C$ using a ruler, we find that it is approximately $6.1 cm .$

Suggest Corrections

Similar questions

A B C

is a right angled triangle with

∠ B A C = 90^{\circ}

A H

is drawn perpendicular to

B C

. If

A B = 60

cm and

A C = 80

cm, then

B H =

__________.

Construct a $△$ ABC in which AC = 5 cm, and $∠ B A C = 60^{\circ}$ and AB – BC = 1.2 cm.

Q. In an isosceles

△ A B C, A B = B C = 4.5 cm, and ∠ B A C = 30^{\circ}

. What will be the perimeter of the triangle?

Q. In a

△ A B C

in which

A C = 5 c m

and

∠ B A C = 60^{\circ}

and

B C - A B = 1.2 c m

. The,

A B

Construct a

△ A B C

in which

A C = 5 c m

, and

∠ B A C = 60^{\circ}

and

A B - B C = 1.2 c m

Join BYJU'S Learning Program

If in △ABC,AB=4.5 cm,∠ABC=60∘,and ∠BAC=80∘, then which of the following options will be the length of AC?

If in $△ A B C, A B = 4.5 cm, ∠ A B C = 60^{\circ}, and ∠ B A C = 80^{\circ}$ , then which of the following options will be the length of $A C ?$