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In a A B C , if /B=/C=45^0, which is th...

In a ` A B C ,` if `/_B=/_C=45^0,` which is the longest side?

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Verified by Experts

"In `triangle ABC, angle B = angle C = 45^@`
Sum of angles in a triangle = `180^@`
`angle A + angle B + angle C = 180^@`
`angle A + 45^@ + 45^@ = 180^@`
` angle A = 180^@ – (45^@ + 45^@) = 180^@ – 90^@ = 90^@`
`angle A = 90^@, angle B = angle C < angle A`
`therefore` BC is longest side."
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
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  2. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and sh...

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  3. In a A B C , if /B=/C=45^0, which is the longest side?

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  4. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

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  5. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m\...

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  6. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

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  7. O is any point in the interior of A B Cdot Prove that A B+A C > O ...

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  8. Prove that the perimeter of a triangle is greater than the sum of it...

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  9. Prove that in a quadrilateral the sum of all the sides is greater t...

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  10. In Figure, prove that C D+D A+A B+B C >2A C C D+D A+A B+B C >2A C

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  11. Which of the following statements are true (T) and which are false ...

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  12. Fill in the blanks to make the following statements true: In a righ...

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  13. In two congruent triangles A B C\ a n d\ D E F , if A B=D E\ a n d\...

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  14. In two triangles A B C\ a n d\ D E F , it is given that /A=/D ,\ /B=/E...

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  15. If A B C\ a n d\ D E F are two triangles such that A C=2. 5\ c m ,\...

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  16. In two triangles A B C\ a n d\ A D C , if A B=A D\ a n d\ B C=C Ddot A...

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  17. In triangle A B C\ a n d\ C D E , if A C=C E ,\ B C=C D ,\ /A=60^0,\ /...

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  18. A B C is an isosceles triangle in which A B=A CdotB E\ a n d\ C F a...

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  19. Find the measure of each angle of an equilateral triangle.

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