CameraIcon

SearchIcon

MyQuestionIcon

1

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

Equal Angles Subtend Equal Sides

Construct Δ...

Question

Construct $Δ A B C$ when $A B = 4 c m, B C = 3 c m, A C = 5 c m$ and measure $∠ B$

Open in App

Solution

We can see that, $A B^{2} + B C^{2} = 4^{2} + 3^{2} = 16 + 9 = 25 = A C^{2}$
It satisfies Pythagoras Theorem
Hence, it is a Right angled Triangle Right angled at $B$
So, $∠ B = 90^{o}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Can we construct a ∆ABC in which AB = 5 cm, BC = 4 cm and AC = 9 cm? Why?

△ A B C

A B = 3 c m, B C = 4 c m

A C = 5 c m

Q. Construct a quadrilateral

A B C D

A B = 4 cm, B C = 3.1 cm, C D = 3 cm, A D = 4.2 cm

A C = 5 cm

. Measure the diagonal

B D

Q. In each of the following cases, given reasons to show that the construction of ∆ABC is not possible:
(i) AB = 6 cm, ∠A = 40° and (BC + AC) = 5.8 cm.
(ii) AB = 7 cm, ∠A = 50° and (BC – AC) = 8 cm.
(iii) BC = 5 cm, ∠B = 80°, ∠C = 50° and ∠A = 60°.
(iv) AB = 4 cm, BC = 3 cm and AC = 7 cm.

Δ A B C

A B = 5 c m, B C = 3 c m, C A = 4 c m

then largest angle is ______

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Triangle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equal Angles Subtend Equal Sides

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon