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BabaBlast [244]
3 years ago
6

Find the values of x and y that make these triangles congruent by the HL theorem

Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>

Step-by-step explanation:

<em><u>As</u></em><em><u> </u></em><em><u>due</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>congruency</u></em><em><u>,</u></em>

x + 3 = 3y

<em>[</em><em>By</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>3</em><em> </em><em>and</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>]</em>

=> 3 + 3 = 3 × 2

=> 6 = 6

and,

x = y + 1

<em>[By putting the values of x = 3 and y = 2]</em>

=> 3 = 2 + 1

=> 3 = 3

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>proved</u></em>

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