Ram drew a line segment AB of length 12 cm and another line segment CB of length 5 cm, which is perpendicular to line segment AB. What is the length of third side AC if triangle ABC is constructed?

6 cm

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

13 cm

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

5 cm

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

2 cm

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

Open in App

Solution

The correct option is B 13 cm
From the given information, we know that side CB is perpendicular to side AB. That means ABC is a right-angled triangle. So by using the Pythagorean theorem we have,

AB² + BC² = CA²

12² + 5² = 169

Therefore CA = 13 cm

Hence option C is the answer.

Suggest Corrections

Similar questions

Ram drew a line segment $A B$ of length $3 c m$ and another line segment $C B$ of length $4 c m$ , which is perpendicular to line segment $A B$ . What is the length of the third side of the triangle?

Q. Construct a line segment perpendicular to line segment

A B = 12

c m .

Q. Line m is the perpendicular bisector of line segment AB. If AB = 6 cm, then what will be the lengths of AC and BC?

Q. AB is a line of length 6 cm. Construct a line perpendicular to the line segment AB and passing throght any point P lying on AB.

Q. Steps for the construction of a triangle ABC in which AB = 5.8 cm, BC + CA = 8.4 cm and

∠ B = 60^{\circ}

is given below. Choose the correct order.

1. Join AC.
2. From the segment BX, cut off a line segment BD of length 8.4 cm. Join AD.
3. Draw the perpendicular bisector of AD. Let it meet BD at C.
4. Draw a line segment AB of length 5.8 cm.
5. Draw a line segment BX, sufficiently large such that

∠ A B X = 60^{\circ}

Join BYJU'S Learning Program

Ram drew a line segment AB of length 12 cm and another line segment CB of length 5 cm, which is perpendicular to line segment AB. What is the length of third side AC if triangle ABC is constructed?

The correct option is B 13 cmFrom the given information, we know that side CB is perpendicular to side AB. That means ABC is a right-angled triangle. So by using the Pythagorean theorem we have, AB² + BC² = CA² 12² + 5² = 169 Therefore CA = 13 cm Hence option C is the answer.

The correct option is B 13 cm
From the given information, we know that side CB is perpendicular to side AB. That means ABC is a right-angled triangle. So by using the Pythagorean theorem we have,

AB² + BC² = CA²

12² + 5² = 169

Therefore CA = 13 cm

Hence option C is the answer.