The area of a triangle is 1,440 cm2. the base of the triangle is 5 times the height. what is the height of the triangle?

24 cm

Step-by-step explanation:

The formula for calculate the area of a triangle is:

Where b is the base and h is the height.

Then if the base of the triangle is 5 times the height:

Substitute the above into the formula and solve for the height. Therefore, you obtain that the height is:

The height of the triangle = 24 cm

Step-by-step explanation:

∵ The area of the triangle = 1/2 × base × height

∵ The length of the base = 5 times the length of the height

Let the length of the height = x, then length of the base = 5x

∴ Area triangle = 1/2 × 5x × x = 2.5 x²

∵ Area of the triangle = 1440 cm²

∴ 2.5 x² = 1440

∴ x² = 1440 ÷ 2.5 = 576

∴ x = √576 = 24 cm

∴ The height of the triangle = 24 cm

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.