SAT Triangle Practice

• The Pythagorean Theorem
• Volume of a Pyramid
• Properties of Special Right Triangle: 30, 60, 90 Degree Triangle
• Properties of Special Right Triangle: Isosceles Triangle

Tags

CCSS.HSG.CO.C.10

• Circumference of a Circle
• Volume of a Pyramid
• Properties of Special Right Triangle: 30, 60, 90 Degree Triangle
• The Pythagorean Theorem

Tags

CCSS.8.G.B.8

• 4

• 9

• 13

• 36

Answer explanation

The area of a triangle is given by the formula A = 1/2 * base * height. Here, 18 = 1/2 * (m + 5) * m. Solving for m, we get m^2 + 5m - 36 = 0. Factoring gives (m - 4)(m + 9) = 0, so m = 4 (valid) or m = -9 (not valid). Thus, m = 4.

Tags

CCSS.6.G.A.1

Triangle ABC is similar to triangle EDC. If the measure of angle B is 50°, then the measure of angle D is ​ (a)   .

• 50°

• a multiple of 50°

• a fraction of 50°

• a percentage of 50°

Tags

CCSS.HSG.SRT.A.2

In a triangle △PQR, PT bisects ∠QPR. Prove that PQ is greater than QT. Click on 'Yes' when it is completed.

• Yes

• No

Answer explanation

Since PT bisects ∠QPR, we have, ∠QPT = ∠TPR .......(1) Also, in △PTR, ∠PTQ > ∠TPR.... [As an exterior angle of a triangle is always greater than either of the interior opposite angles] Therefore, ∠PTQ > ∠QPT.....(from (1)) Since in a triangle, the greater angle has the greater side opposite to it, ∴ PQ > QT Hence, proved.

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.8.G.A.5

In the figure, the measure of ∠B is twice the measure of ∠C. What is the measure of ∠C?

Tags

CCSS.8.G.A.5

Two isosceles triangles are shown above. If 180 − z = 2y and y = 75, what is the value of x?

A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch above. The lengths represented by AB, EB, BD, and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet, and 800 feet, respectively. Segments AC and DE intersect at B, and ∠AEB and ∠CDB have the same measure. What is the value of x ?

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.8.G.B.8