The area of a triangle is 92 cm2. the base of the triangle is 8 cm. what is the height of the triangle?
a. 11.5 cm
b. 23 cm
c. 4 cm
d. 46 cm

b. 23 cm

Step-by-step explanation:

We know that area of a triangle is given by :-

, where b is the base of triangle and h is the height of the triangle.

Given : The area of a triangle is

The base of the triangle = 8 cm

Let h be the height of the triangle , then we have

Hence, the height of the triangle = 23 cm

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.