Answer:
7) 14✓2
8) 14
are the answers.
Step-by-step 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
[tex] {w}^{2} = {z}^{2} + {14}^{2} \\ {w}^{2} = {14}^{2} + {14 }^{2} \\ {w}^{2} = 2 \times {14}^{2} \\ w = \sqrt{2 \times {14}^{2} } \\ = \sqrt{2} \times 14 \\ = 14 \sqrt{2} [/tex]
answer to question 7
