3 years ago

HELPP DUE IN 10 MINS!!!

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

x=8+4sqrt3=4*(2+sqrt3)

Step-by-step explanation:

bz theorem the height of a right triangle is 1/4 of its hypotеnus and we get the hypo by using the pythagorean theorem so the hypo is equal to sqrt(x^2+16). the small triangle formed by the height with side x is similar to the initial triangle so we get the following proportion:x/sqrt(x^2+16)=sqrt(x^2+16)/4/4. by siplifying it we get the quadric equation x^2-16x+16=0 and its roots are +/-8+4sqrt3, but x is a side so it is bigger than zero so it is the positive value

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