The area of the base of the oblique pentagonal pyramid is 50 cm2 and the distance from the apex to the center of the pentagon is 6 cm. the measure of ∠acb is 45°. the height, ab, is cm. the volume of the pyramid is cm3.

Step-by-step explanation:

Given the area of the base of the oblique pentagonal pyramid is and the distance from the apex to the center of the pentagon is 6 cm. The measure of ∠ACB is 45°.

we know that

ABC is a right triangle

∠ACB=45°

AC=hypotenuse------> 6 cm

Now, volume of pyramid

Area of the base=50 cm²

so,

Option B is the correct answer.

ΔWVS ≅ ΔWUT

Solution:

Given STUV is a rectangle.

To prove that ΔWVS ≅ ΔWUT:

Step 1: Given STUV is a rectangle.

Step 2: All the angles in the rectangle are right angles.

So that, ∠V = ∠U = 90°

Step 3: ∠V ≅ ∠U (Angle)

Step 4: All rectangles are parallelograms.

Therefore STUV is a parallelogram.

Step 5: In parallelogram opposite sides are congruent.

Therefore, SV ≅ TU (Side)

Step 6: Given WV ≅ WU (Side)

Step 7: From step 3, step 5 and step 6

ΔWVS ≅ ΔWUT by SAS congruence rule.

Option B is the correct answer.