Question

Use the triangle at the right to answer questions 7 and 8.

7.
Find the value for w?
A. 7
B. 14
C. 7V2
D. 14V2
W
14
8.
Find the value for z?
450
A. 7
Z
B. 1412
D. 73
C.
14

Answer 1

7) 14✓2

8) 14

are the answers.

Explanation:

in a triangle the sum of angles is 180 deg.

the third angle will be = 180 - 90 - 45

= 45 deg

since 2 angles in the triangle are 45 deg it means the triangle is isosceles

and in isosceles triangle the sides opposite to equal angles are equal which means

z = 14 (answer to question 8)

now in right angle triangle, by pythogoras theorem,

hypotenuse ² = base ² + height ²

thus

`{w}^(2) = {z}^(2) + {14}^(2) \\ {w}^(2) = {14}^(2) + {14 }^(2) \\ {w}^(2) = 2 * {14}^(2) \\ w = \sqrt{2 * {14}^(2) } \\ = √(2) * 14 \\ = 14 √(2)`

answer to question 7