The hypotenuse of a right angled triangle is of length square root34. The sum of the other two sides is 8. How do you find the length of each side?

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The hypotenuse of a right angled triangle is of length square root34. The sum of the other two sides is 8. How do you find the length of each side?

1 Answer

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Answer 1 · 2016-02-12T23:57:17

I found #3 and 5#

Explanation:

We can use Pythagoras theorem where #a# and #b# are the two sides and #c=sqrt(34)# is the hipotenuse to get:
#c^2=a^2+b^2#
you also know that #a+b=8#
or #a=8-b# into #c^2=a^2+b^2# you get:
#34=(8-b)^2+b^2#
#34=64-16b+b^2+b^2#
#2b^2-16b+30=0#
Using the Quadratic Formula:
#b_(1,2)=(16+-sqrt(256-240))/4=(16+-4)/4#
getting:
#b_1=5#
#b_2=3#
and:
#a_1=8-5=3#
#a_2=8-3=5#

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The hypotenuse of a right angled triangle is of length square root34. The sum of the other two sides is 8. How do you find the length of each side?

1 Answer

Explanation:

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