Interesting Geometry Question

Note by Sangeeta Mishra
4 years, 9 months ago

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3 votes

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

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Construct point I, which is the reflection of D about FE.

\(\alpha = \angle IHE\)

\(\alpha+\beta = \angle IHE + \angle EHC = \angle CHI\)

Connect CI. Note that \(\triangle HCI\) is a right angled isosceles triangle, thus \(\angle CHI = 45^\circ \)

\(\gamma = 45^\circ\)

Thus sum of 3 angles \(=90^\circ\)

Clarence Chew - 4 years, 9 months ago

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Thank you!

Sangeeta Mishra - 4 years, 9 months ago

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answer =90

Shubhabrota Chakraborty - 4 years, 9 months ago

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y=45degree. alpha+ beta= 45 degree as tan ( a + b)= tan a + tan b /(1-tan a * tanb)= (1/2+1/3)/(1-1/2*1/3)=1 =90 degree.

Lakshaya Bangur - 4 years, 9 months ago

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90 degree!! tan^-1(1)+tan^-1(0.5)+tan^-1(1/3)=90

Subhrodipto Basu Choudhury - 4 years, 9 months ago

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This was in our fiitjee booklet last year.Quite easy

Priyatam Roy - 4 years, 9 months ago

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  1. use trigonometry. tangenta formula

Vali Dobre - 4 years, 9 months ago

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