Answer:
The area of the trapezoid is 57.5 square inches
Step-by-step explanation:
we know that
The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD
see the attached figure to better understand the problem
step 1
The area of rectangle is given by the formula

we have
----> altitude

substitute

step 2
Find the area of the isosceles right triangle
The area of triangle is given by the formula

we have
---> because is an isosceles triangle
substitute

step 3
Adds the areas

Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>As per diagram:</u>
- ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
- m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles
<u>Find the measure of ∠YXZ:</u>
- m∠YXZ = 180° - 2*63° = 54°
<u>Find the bearing of Z from X:</u>
- m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
The length of the altitude is 
Explanation:
Let ABC be an equilateral triangle.
It has sides of length 16 cm
Let AD be the altitude of the triangle.
We need to determine the length of an altitude.
Let AC = 16 cm and CD = 8 cm
Let us consider the right angled triangle ADC
Using the Pythagorean theorem, we have,

Substituting the values, we get,




The length of the altitude is 