Answer:
13
Step-by-step explanation:
If we have a right triangle, we can use the Pythagorean theorem to find the hypotenuse
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144= c^2
169 = c^2
Take the square root of each side
sqrt(169) = sqrt(c^2)
13= c
2/1 = (8x-2)/9
2=(8x-2)/9
18=8x-2
20=8x
x=8/20
x=2/5
Answer:
(i)
<u>Given</u>
<u>Also we see that</u>
- ∠ABC = ∠DBE as refer to same angle
<u>Since two angles of triangles are congruent, the triangles are similar by </u><u>AA similarity postulate</u>
(ii)
<u>In similar figures corresponding parts have same ratio. Use ratios to find the value of x:</u>
- AB/EB = AC/ED
- 12/8 = x / 4
- x = 4*12/8
- x = 6 cm
Trapezoid, height 7, bases 5 and 6, so
area = (1/2) (6 + 5)(7) = 77/2 = 38.5
Answer: 38.5
As a check it's a 7×5 rectangle plus a 7×1 right triangle, so
A = 7×5 + 7×1/2 = 35 + 3.5 = 38.5, good
