<u>ANSWER</u>
a. 12 units
<u>EXPLANATION</u>
According to the altitude theorem, RT which is the altitude, is equal to the geometric mean of TQ and TS, the segments created by the foot of the altitude on the hypotenuse.
This implies that:
From the diagram, TQ=16 and TS=9.
We substitute these values and solve for x.
Therefore x is 12 units.
The correct answer is A
Answer:
<h3>27 cm²</h3>
Step-by-step explanation:
The length is 3 × width.
l = 3w
The perimeter is 24 centimeters.
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
3 = w
The width is 3 centimeters.
l = 3(3)
l = 9
The length is 9 centimeters.
Area is l × w.
A = l × w
A = 9 × 3
A = 27
The area is 27 squared centimeters.
Answer:
Need to see the picture
Step-by-step explanation:
Answer:
SAS Postulate.
Step-by-step explanation:
Two triangles are congruent if anyone of the following postulates is true:
SAS - Two corresponding sides and the included angles are congruent to each other.
SSS - All the three corresponding sides are congruent.
ASA - Two corresponding angles and the included sides are congruent to each other.
AAS - Two corresponding consecutive angles and sides adjacent to either of the angles are congruent.
HL - If the corresponding hypotenuses and one corresponding legs are congruent to each other.
Here, in the figure, two corresponding sides and the included angle between them are congruent to each other.
So, the two triangles are congruent by SAS postulate.
