Triangles

A triangle ABC is right angled at A. AL is drawn perpendicular to BC. Then ∠BAL is equal to:: A. ∠ALC B. ∠ACB C. ∠BAC D. ∠BLA Answer: Option B Show Answer Solution(By Apex Team) $begin{array}{l}text{In }triangle text{ABL}\ anglemathrm{BAL}+anglemathrm{ALB}+anglemathrm{B}=180^{circ}\ anglemathrm{BAL}+90^{circ}+anglemathrm{B}=180^{circ}\ anglemathrm{BAL}=90^{circ}-anglemathrm{B}quadldots..(1)\ text{In} triangle text{ABC},\ anglemathrm{A}+anglemathrm{B}+anglemathrm{C}=180^{circ}\ anglemathrm{B}+anglemathrm{C}=90^{circ}\ anglemathrm{C}=90^{circ}-anglemathrm{B}\ anglemathrm{ACB}=90^{circ}-anglemathrm{B} ....left(2right)\ text{From }left(1right) & ...

AB and CD bisect each other at O. If AD = 6 cm. Then BC is : A. 5.9 cm B. 4.8 cm C. 6 cm D. 7 cm Answer: Option C Show Answer Solution(By Apex Team) Since, AB and CD bisects each other...

In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The...

In the following figure which of the following statements is true? A. AB = BD B. AC = CD C. BC + CD D. AD + CD Answer: Option B Show Answer Solution(By Apex Team) In Triangle ABD, ∠BAD + ∠B + 90° = 180° or,...

If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is: A. 50° B. 70° C. 60° D. 80° Answer: Option A Show Answer Solution(By Apex Team) Since, ΔABC and ΔPQR are similar triangles. then, ∠B =...