Question

What is the length of each leg of the triangle below?

45
26
90°
45
A. 132
B. V13
C. 1
D. 18
E. 13
OF /26

Answer 1

A: 13 times the square root of 2.

Explanation:

eudora got it right

Answer 2

Option (A)

Explanation:

From the triangle ABC given in the picture,

Since, ∠BAC and ∠BCA are equal in measure, opposite sides of these angles will be equal.

AB = BC

Therefore, ΔABC is an isosceles triangle.

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

AB² + AB² = AC² [Since, AB = BC]

2(AB)² = AC²

2(AB)² = (26)²

AB² =
`(676)/(2)=338`

AB =
`√(338)`

AB =
`√(169* 2)`

=
`13√(2)` units

Therefore, Option (A) will be the answer.