Answer:
Surface area of the right triangular prism = 180 m²
Step-by-step explanation:
Surface area of the given right triangular prism = Surface area of triangular sides + Surface area of the rectangular surfaces
Surface area of the triangular sides =
=
By applying Pythagoras theorem in ΔABC,
BC² = AB² + AC²
(13)² = 5² + (AC)²
AC² = 169 - 25
AC = 12 m
Therefore, area of the triangular sides = = 30 m²
Area of the rectangular side with dimensions 5m × 4m,
= 5 × 4
= 20 m²
Area of the rectangular side with dimensions 13m × 4m
= 13 × 4
= 52 m²
Area of the rectangular side with dimensions 12m × 4m
= 12 × 4
= 48 m²
Total surface area of the prism = 2(30) + 20 + 52 + 48
= 180 m²
Answer:
One
Step-by-step explanation:
The most triangles you can make from three given sides is <em>one</em>.
However, you may not be able to make any.
To form a triangle, the sum of the two smaller sides must be <em>greater than</em> the longest side.
16 + 11 > 26, so you can form one triangle: an obtuse scalene triangle.
Answer:
The measure of one angle is 81.3° and the other angle is 8.7°.
Step-by-step explanation:
We are given that two angles are complementary. One angle's measure is 3 more than 9 times the other angle.
Let the measure of one angle be 'x' and the measure of other angle be 'y'.
So, according to the question;
x + y = 90°
x = 90° - y ---------------- [equation 1]
x = 3 + 9y ------------ [equation 2]
Now, both the equations we get;
90 - y = 3 + 9y
9y + y = 90 - 3
10y = 87
= 8.7°
Now, putting the value of y in equation 1 we get;
x = 90° - y
x = 90° - 8.7° = 81.3°
Hence, the measure of one angle is 81.3° and the other angle is 8.7°.