Question

Find the value of C
(Will give medal)

A. 10
B. 5
C. square root of 2
D. 10square root of 2

Answer 1

The leg opposite the 45-degree angle (in a 45-45-90) triangle is 1/2 hypotenuse multiplied by sqrt(2).

Answer 2

10

Answer 3

@thomas_2016 how did you get that answer?

Answer 4

I just dont want to give the answer; student must learn how to do this problem on his/her own.

Answer 5

Im not sure. I sorry.

Answer 6

@Easyaspi314 i understand. and thats why i asked Thomas how he got that answer, so i can know how to do it.

Answer 7

One way: each of the 2 legs are 5 sqrt(2). Becuase it is an isosceles triangle...so use Pythagorean Theorem...(5 sqrt(2))^2 + (5 sqrt(2))^2 = hyp^2
50 + 50 = hyp^2
100= hyp^2
hypotenuse = 10

Answer 8

That is the way I did it.