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Find the length of x and y in the following figure. - Mathematics

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Question

Find the length of x and y in the following figure.

Sum
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Solution

Given:

Right triangle with one angle 45°.

Opposite side to 45° is 3.

Finding x, y

Step 1: Use tan⁡ 45°

tan(45°) = `3/x`

= 1 = `3/x`

x = 3

Step 2: Use sin⁡ 45°

sin(45°) = `3/y`

= `1/sqrt2 = 3/y`

= y = `3sqrt2`

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Chapter 20: Simple 2-D Problems in Right Triangle - EXERCISE 20 [Page 243]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 20 Simple 2-D Problems in Right Triangle
EXERCISE 20 | Q 1. (i) | Page 243
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