Which of the following could be the lengths of the sides of a 45°-45°-90° triangle?

option B

Step-by-step explanation:

since two two angles are 45 degree it can be said that the other two smaller legs of a triangle are equal.

Hypotenuse is 90 degree because it is opposite of 90 degree (which is a largest angle).

out of these four options A and B are the possible answers.because its two sides are equal. Now we should check which one is correct by using pythagoras theorem.

for option A

a^2 + b^2 = c^2

+ =

take lcm of denominator

this can not be the sides of the right angle because according to the pythagoras theorem to be the right angle sum of square of two smaller sides of a triangle must equal to the square of hypotenuse .But here it is not equal.so it cannot be the sides of right angle triangle.

For option B

a^2 + b^2 = c^2

since both sides are equal it satisfies the pythagoras theorem.

therefore answer is option B.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: