Use the Pythagorean Theorem: a² + b² = c².
a and b are the legs of the right triangle, and c is the hypotenuse.
2) 5² + b² = 6²
25 + b² = 36
b² = 11
b = 3.3 cm
3) 7² + b² = 8²
49 + b² = 64
b² = 15
b = 3.9 cm
4) a² + 5² = 13²
a² + 25 = 169
a² = 144
a = 12 cm
Answer:
Step-by-step explanation:
<u><em>( 8 ).</em></u> m∠1 = m∠ 4 = m∠ 5 = <em>m∠6 = 52°</em>
<em><u>( 9 ).</u></em> m∠ 2 = m∠ 3 = <em>m∠ 7</em> = m∠ 8 = 180° - 52° <em>= 128°</em>
Well if t's a right angle then the answer would be 41° but if it's an obtuse angle the it could vary from 91°-179°. For a straight angle, the answer would be 51° and for an acute angle; it could vary from 1°-89° I hope this helped ^^
Answer:
x=26
C = 91
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B+ C = 180
35+ 52+ 3(x+5) = 180
Distribute
35+52+3x+15 = 180
Combine like terms
102 +3x = 180
Subtract 102 from each side
102-102 +3x=180-102
3x= 78
Divide by 3
3x/3 = 78/3
x=26
Now we need to find angle C
c = 3(x+5)
C = 3(26+5)
3(31)
93
The figure consists of a rectangle and a circle.
first lets find the sides of the triangle
sides of the triangle are 4+4=8 and 3+1=4
therefore area of the rectangle is 8*4=32
now area of semicircle =πr^2/2 = π2^2/2=2π=6.3
we have to add the area of rectangle with the area of semicircle
this is because it the given figure no part of area of circle and rectangle are in common.
therefore total area of given figure = 32+6.3=38.3
