Simplify. 8√-76 Enter your answer, in simplest radical form, in the box.

What is the length of AB? Please help so I can graduate thanks!!

4vir4ik [10]

HOPE it helps!!!!!!!!

5 0

3 years ago

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 12, length of BC is 11.5. A similar right trian

expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

$\frac{PQ}{AB} = \frac{QR}{BC}$

Substitute the value of AB, QR and BC to solve for PQ;

$\frac{PQ}{12}=\frac{34.5}{11.5}$ or

$PQ = \frac{34.5 \times 12}{11.5}$

On simplify:

$PQ = 3 \times 12 = 36$

Therefore, the length of side PQ is 36 units.

8 0

2 years ago

Read 2 more answers

Find the value of x. a.17 b.12 c.40 d.18 e.none are correct

Natali5045456 [20]

Answer:

b.12

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is: $S = (n - 2)180$